{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Copyright (C) 2016 - 2019 Pinard Liu(liujianping-ok@163.com)\n",
    "\n",
    "https://www.cnblogs.com/pinard\n",
    "\n",
    "Permission given to modify the code as long as you keep this declaration at the top\n",
    "\n",
    "用scikit-learn学习DBSCAN聚类 https://www.cnblogs.com/pinard/p/6217852.html"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "import numpy as np\n",
    "import matplotlib.pyplot as plt\n",
    "from sklearn import datasets\n",
    "%matplotlib inline\n",
    "X1, y1=datasets.make_circles(n_samples=5000, factor=.6,\n",
    "                                      noise=.05)\n",
    "X2, y2 = datasets.make_blobs(n_samples=1000, n_features=2, centers=[[1.2,1.2]], cluster_std=[[.1]],\n",
    "               random_state=9)\n",
    "\n",
    "X = np.concatenate((X1, X2))\n",
    "plt.scatter(X[:, 0], X[:, 1], marker='o')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import KMeans\n",
    "y_pred = KMeans(n_clusters=3, random_state=9).fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "from sklearn.cluster import DBSCAN\n",
    "y_pred = DBSCAN().fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAD8CAYAAACfF6SlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzsnXd4VNXWh9995sxMJpUQQg29d1SqKAKCShUFBSzYsWH3Xr167fp5bfcq6rVcRUWlCioiIAhIk957byEQ0tv0Ofv7YyACmTQyLcl5n4fnITP77L2STNbZZ+21fktIKdHR0dHRqV4ooTZAR0dHRyf46M5fR0dHpxqiO38dHR2daoju/HV0dHSqIbrz19HR0amG6M5fR0dHpxqiO38dHR2daoju/HV0dHSqIbrz19HR0amGqKE2oDhq1aolmzRpEmozdHR0dCoVGzduTJdSJpY2Lmydf5MmTdiwYUOozdDR0dGpVAghjpZlnB720dHR0amG6M5fR0dHpxqiO38dHR2daoju/HV0dHSqIbrz19HR0amGhG22j46Ojk6gkFKCexdIJxg7IIQx1CYFHd356+joVCukazcy6wGQOYAAFIh7FxHRL9SmBRU97KOjo1NtkNKJzLwDtJMgrSALQOYhsx9Dek6E2rygojt/HR2d6oPjD8Dl4w0P0joryMaEFr84fyHEJCHEaSHEjmLe7yuEyBFCbDnz70V/rKujo6NTLrQskJqPN1ygpQfdnFDir5j/18BHwOQSxqyQUg7103o6Ojo65cfUHfDh/EUkwnxl0M0JJX7Z+UsplwOZ/phLR0dHJ1AItSlYbgAs57xqAbUtmPuHyqyQEMxsn15CiK1ACvC0lHLnhQOEEOOB8QCNGjUKomk6OjqhQko7ONd5vzD1QAhzBeaSILNBRCGEyecYEfsK0tgOrD8AwnszsIxE2mYhC74ETzoY4kFti4gcDabeCCEu2qZwJVjOfxPQWEqZL4QYDPwEtLxwkJTyc+BzgK5du8og2aajoxMipOMPZPYTeFMuASTU+ABh7lP2OTynkPmfgH3hmfRNCahIy0hE7HOFNwEpJbLgG8h/D3DgDXyoIAdC/vtgnQLYvJN68sBzDOn4AyyDIfZfVe4GIKT0j48VQjQB5kopO5Rh7BGgq5Sy2BOWrl27Sl3SWUen6iI96ci0/oD9gnciELX/QCg1yzZH+hCQuYCnyDyY+4HaCFzbwH0YtFM+ZjHhPQdwF7+QUhekHYxtEdFPIkydy2DbKWTBJO9TjaEhIvo+hLFTqddVFCHERill19LGBWXnL4SoC6RKKaUQojveW25GMNbW0dEJU+zz8O7Sfb03HyJv9fmWdKxE5v8XPCdARBTj+AHs4JgPDiO+0zvP4izd1rM3DedqZOY4qDkZjJ28axBR5KlAcx+B9OEU3tjcu5COZci4d1Es15S+XhDwi/MXQkwF+gK1hBDJwEuAEUBK+SkwCnhQCOHG+1w1RvrrkUNHR6dSIrUMfDtlF2h5Pq/RrD9B7gt4wzZlpSTHfzHYkNl/B5kOMh+wIKMmIKLvQQiBpnkg/SaKPtHYIe8lZMQAhAh9iZVfnL+Ucmwp73+ENxVUR0enmiOlROa9BdZv8Zl2iRF8pF1K6YHc1yif4w8Q2uFzvrBCwTtI3BB1G6RdA+QUc12ut7rY0CAYVpaIru2jo6MTVKT1W7BOxeeOXFggYjDC2L7odZ5UwPcTQeiRUPAR0rXN+0RQLB4QsUGzqiR056+joxNcCiZRmFVzHgrEvYcwX33eq1rBd5D3LmANhnUVwAnOJSUPUZojlJjgmFMKoQ886ejoVBtksRk3ABpkP4XMfsA7DtCsMyHvVcLf8Z/FVxjrHKJuD44ZZUB3/jo6OkFBShsyYwwlO0gbOP5AZozyhnny3g6WeUFAIJTwCPmA7vx1dHSChX0hZTuslSALkJl3nSnaqipIpKlbqI0oRHf+Ojo6wcGT4i2UKhMaeA4E1JyQkP0U4ZLlrjt/HR2d4GDs4C3Kqs641oFrS6itAHTnr6OjEyxMvcHQHDhXuM0MROGVWKgOaEhHKRlBQUJ3/jo6OkFBCAVR81uIuhuUel69nKi7IPF3sAzjjChAMRfXAloHy9TAEiZhHz3PX0dHJ2gIJRIR8wTEPHH+G3FvornTwLXc94UyHaginbYiR4baAkDf+evo6IQBmmYt3vFXJQzNUdSmSE8a0lNcvUNw0Hf+Ojo6QUW6jyKt34MnGUy9EJYboeDbUJsVHDxH0dKu9SqSIpCGBoga/0YY2wXdFN356+joBA3pWIXMehCvdr4bHKuQBV+AlhZq04KEGzzniMJ5DiEzb4PEpQglLqiW6M5fR0cnKEipIXP+zvlSxzbQfOn8VCOkG2y/ICP6exu/iDgw9y62DaW/0J2/jo5OcPAcAy0/1FaEIXZk3oeQ9zpgBKECJqj5NcLYNmCr6ge+Ojo6wUFE4rvjlg5k4dU8coAsAJmFzBqPlKUIxVUA3fnr6OgEBWGoDWrwDzYrLTLP23s4QOhhH50qicPt5reD+9l66hRN4+MZ3rotsWZz6RcCbk1jyeGDrEk+Tt3oGG5o247EyKgAW1xNiHkSsu6g2N69On8hbUiZhyh95EWhO3+dKsHu9DS+37aFU/n59EhK4rttW8mwWbG6XFhUlfdWr2TmTWNpUTOhxHnsbhdjZ81gf2YGVpcLs8HAxHWrmTT8Rro3SArSd1N1EcZWSIyUqWl6tUeClhmw2fWwj06lZ+6+PYycMYXpO7ez5Mgh3l61guO5OVhd3jaBNrebXIeDpxctKHWuyVu3sDcjvfBah8eD1eXi0QVz0cKkLL8yI5SaYL6CEqUcdAoRnuMBm1vf+etUGIfbjVvTiDL5JzVNSsmmUykk5+bSIbE2zWsm4NE01qUk8+u+fexKS6V+TCz3XHIZ7RJr89ziRdjd7sLrPT6ctAR2pZ0mz+EgpoTwz097d58311mybDb2ZaTTplaiX77H6oyIe9eb6+9aG2pTAoyg9PDW2aCOj3EiCgzN/GzTX+jOX+eiyXXYeW7xIhYdOoAmoWVCAm9efQ2d69S9qPmklEzbuZ1Xly3B6fGgCAES6sREk22zYT3HKW9JPcWCg/tpl5BYrh25QSn5YddYzPsuTePDdav5ePDwMq9VHZHSicx7H2wzvNr9ph6I2H8i1KaFY4QSjVRbVQPnX8rnMuoRRPQEpMyFtGtBZvNXlzPVm+8fMSBg1ulhHx2fuDWtVKd6x0+zWHToAC5NwyM19qSncevsGaTk5ZZ7vRO5uTy24FdeWPo7Do8HiXcH70GSkpd3nuM/iyYlO9JPY3W7yrRGpNFIgavkWPPodh0wCN9HbEsOH+JEbvm+tzyHgwJn9Ylvy+xHwPotyFy8Dc1XIjNuQnouEGVzrg6JfeGDEVARQqAocYhac8F8zZnXjWC+GpEwM6CFXvrOX+c8DmZm8NySRWxIOYFBCAa1bM2rfa8mLuL8Jhw7T6eyLyMDl3Z+HrLLo/H99q387fIrC19zejwsOLCPdSdOkBQby6h2HagVGQmAR9O4bfZM1qYk+/X78PXAne9wcMdPs/h17O0IHw7e5nLx8749PsNG4L0h9pv8JVFGE6Pbd+SJnpdjVn3/CR3MzODpRQvYmXYagK71GvDuNddRPyZ8erj6G+k+BI4/Ob9VowRpR1qnImIe+etlUd2zp1xQ8BGaoTZK5EiEoRYifmJhly9fn09/ozt/nUKybDZGTP+egjOHnW4p+WXfHnacTuW7G0ZR7xzHdTQnB1+fT5fmYV96OsdzcliXkoxFVXl/zZ+k5OcVZs98vH4Nk0eM4pJ69Xl0wa9+d/zg+4FbAw5kpPP1lk3YPR6Sc7OpEWFhZNv2NIuvyb/XrGLLqZPFzumREqQkx2Hn803r+XbbZupGx5BjtxMbEYFH00iIjGRM+468uWIZuU5HoR1rThznyq/+x4g27Xj+yquoaYn0+/ccctwHQBhBXtin11k0X11tBe6tQTMtPHFB7itIJRoRcS0QHKd/FhEu/SQvpGvXrnLDhg2hNqNa8X/L/+CLLRt9vmdUFC6tV5+PBg2jpsXCnH17eOK3eT7HNo6N41RBPgZFweXxFHk6AKgfHcOzva/k0WLmCBYKYFJVXu83gNdX/EG2vaw9ZovHIARSSnzVZhqEICk2jt9uuxOTwVDhtcIJ6dqPzBjJ+do9ACaIugsl5qm/xlp/QOa+iFfgrZqjtkSp9avfphNCbJRSdi11nO78dc5y1ddfcDw3p9j3VUWhXa1ELEYj21JPYfMRh4ey5TiEG2aDAYcnONIDFoPK/V27M7JtexrEVq0wkJZxO7g2c14ev4hC1JqPMPyVCCC1fGRaH5C61g8iGqXOJv9NV0bn75cDXyHEJCHEaSHEjmLeF0KIiUKIA0KIbUKIS/2xrk75OZWfx0O/zqHNx+/T/r8f8Mzvv5Hr8O7U7KUcnLo1jR1pp1l7IrlYxw+Vz/EDQXP8ADaPmw/X/smAbycx7scfyHNcGCYpisPt5ue9u3lr5XJm7tpRWIcQboj4z8ByPd6evAKMXRA1p5zn+MGb8SPivwJRctFdtUBtGZJl/bLzF0L0AfKByVLKDj7eHww8AgwGegAfSCl7lDSnvvP3PzaXi/6TvyTdai081DQqCs3ja/LV9SMZOmUyGfZqLq8bZFQh6FK3Plc2bsLGlBMcyMwg3+XE5nIhgcvq1efRHr145vffyLLZKHC5iDQasahGZt00lkY1aoT6W/CJ169oCFFyaEtKDenaDI7lZxQ/VbB9FRQbg4+K97n43Bt3BKLmlwhTN7+tEvSwjxCiCTC3GOf/GfCHlHLqma/3An2llMWerunO3//M3LWDV5YtKbJrNODNf3f6iM3rhAcGIXxmIV1atx6v9L2a9rXrhMCqwKA5t0LOS+DZTeV8jiwGYYGoh8H+M3hOgtoSEfO0Xx0/lN35ByvbpwFwbp1y8pnXik+t0CkXm0+m8O7qlexJTyfObMZkUFEUQd/GTciy21l48ABWl9NneMODN+VSJ3wpLv1006mTDJ/2HU/26s1DXXsENVskUCimzpD4E1Kzert82X/2NnyRGZx/Mzj7VBGuMtEG/rLNDMYuKNHjIXp8KI0qJFjO39cnssinWQgxHhgP0KhRo0DbVGXYkHKCcT/9UChLkHVO6GZPenVpj1d9kcC/V6/icFYW714z6Pz3pGT6zu18unEdGVYrHWvX5R9XXkXHSvCkIJRIRMyjyOgHkad7UdRlqKAkgub/VGH/YQElBiw3IaIfDLUx5xGsCt9koOE5XycBKRcOklJ+LqXsKqXsmpioa6iUlTdXLvOpR6NTfZDA7D27uOvnWZwbyv1o/RpeW76UYzk5FLhcrDlxnDE/TKsUmwLNk4aW9SAytbtX274IjoCqXlYcD6Ahas1DiXks4G0Zy0uwnP8cYNyZrJ+eQE5J8X6d8rG7Evwh6wSHZUeP8OaKZaQVFPD5xvV8uG5Nkcwsu9vNxLXhLa+guY9DWh9wLAYKKDb2r8QDxQn1hUENqzCCa3uorfCJX346QoipQF+glhAiGXiJM5qtUspPgXl4M30OAFbgLn+sq+OlTlQ0R3OyQ22GTpjw5ZaNTN62GZem+XSZEm+oMKzJeoTSY/kWiH4Y8j8E7RRFbxAGiLgBHAuKeXLwJ+fG98/Fc+YGFX74xflLKceW8r4EHvbHWtWdfKeT2bt3sv5EMvlOJxFGlTYJtTiZn4cziLnqOuGLhFIzt9JtVkbOmMLr/QbQNrF2cAwrD57dJbx5ZqdvuQFhGYk0XwlpV1HU+TvAPpfAHwjHQOzzkPsy51c3K6DUBzVwTdgrQhg8F+mUldT8fK6f9h2ZNivuc+K6lbGiVif0bD51kqFTvyUhMpIeDZJ4stcVpFsLmLFzOzaXmyGtWnNNsxalymAHnajxCMv1CPVMUogSiyy22WEQ6lYMdVAib0TDDXlvAAaQHlAbIuI/D9sMLN35hwmapjFn317+PH6UJjXiGdGmbREFyDdXLiPNWlDE0euOv/wo4FN7p7ohgXSrlV/37+PX/fswKgruM+GiP44eZmaDJL4YdoO3t0IwMfYEl49zCRGNiJ5wnkMVwoI0dgTXVs7/ayjvtsiM91NRnuppE0R6Ax9K5M1IyzBw7QIlDqG2KMc8wUfX9gkhUkrWnUhmXUoyn25YV+RgblTb9rzRfyDGMwJgnT6ZSH6YlvWXh+IKls7FpBhQBNj9HMpSFYVRbdvzjyuuYnXyMR5b8GtQpR0qG2aDgXiLhQyrlQaxsTzd6woGt2wd8HWl5xQyfRjIc7WmjJAwE8XYruh490FkxhjACdIGIhKkRlGROV8YQG2HiHsZXHuRnuNQ8BVFQjjqZd5wlLTjvakYwXwFosZEhAiffXS4FXnpXECWzcbYWdM5nptTrE7OD7t3klqQz8eDhrH2RDIuT+XeqxqA5XeNZ+upkzy1aH7h960IQYSq8mb/a+hQpw5Na8Tj1jT+OHKInadPsyX1JKuTj6MqClLKEnWFikMRgru7XMrfe/dBPRPGuKZ5S74ZMYrXli8t1N3XOR+Hx8OpfK/42pHsbJ5etAC3pjG8dWDj2MJQF2ovR1rngWsjqK0RUTcjhMX3eLU5JC5B2n4G92GEqYM35TX3Vbw5JueigojGe6Nwg+kyRI3/ePsLGzuClEihQv7/QKggnWC+ChH3jvdrxzLwpILpEoSxfUB/DoFE3/mHiId+ncPvhw/iLuVgTlUUDEKgILB5KncuvwBMBgP3XdqNKxo24uMN6ziak0WXOvV4tEcvmsXXLPba5Nwc1p1IJtZs5tnfF5JZjAaRAhgvUOiMUFWm3ngznevW83mNlJKhU7/1mTIbZ44gx1F2mef60TEkxcZhNCisTU7GLSv3DdsX9WNiWHlXeFSploSULmTmXeDeAdLKGQFviHkGETkaPMdAxCIMtXxfr+WD5zAodRCGMDwULwZ95x/GuDyeMjl+8CppVm6X/xcS707yy80baJWQwDcjRpb52qTYOJJi4wD4cJCJe3/5CYfHfV6rSbPBwENdu2NQDEzavJFsh512ibV5sU+/Yh0/eBtoTBs5mmcXL+S3g/vRpCQ+wsJLffvRMj6BW2fPxKV5cGsSp8ddbBRZAH2bNOP1/gO4dfaMKun4AVLy8tCkDP45QDkRwgg1vwb7QqRjIYg4ROTNf+3W1ZKbowslGpSOgTc0ROjOPwRoUpar6XhlxCgEsREWMmwXPnKDze3my80bGdqqzUXN3athI5aMu5tZu3ewLTUVh8dN0xo1ubFtOzqckS14qFuJorFFiDGb+XjwMKSUSDjPsa2+534WHz5IutVKh8TaPLpgLin5RXXoI1Qjw1t7v6dL69Zn48mUKpl+m2CxhL3jP4sQKlgGIyyDQ21K2KE7/xBgVlWa1ajJgayMUJsSEBQh+O7Gm0mIjGT4tO98as9n2SqWglcnOpqHuvWs0By+EEIUSRo0q+p5h5yLx93Da8uXMm3n9sKxRoOBMR060q1+AwDGdb6E77Zvwa1phTd65czcBqHg1CrvTcHh8WA9Iy2tU3nRnX+I6NUwqUo4/0ijEQEkRkZhdbvoldSIF/v0I95iwa1pmAyGIs5fVRT6NmkaGoP9gFlVeb3/QB7p3ot5B/Z5+yQ0bUabWn/pUSVGRfHT6Nv416plrDx2jCiTkds6dqFXUkN2pp0m0mhk4cEDLD92BFVRGNC0OX8eP0am3Rb2T4Xamd7Oo9ufHxJZcfQIn25cR2pBAb0bNuLBrt2pGx0TIit1SkM/8A0QWTYbb/+5ggUH9mNQBDe0accTPXsX7paGTJkclpo8vjKjTQYDj3bvyY7Tpzmem0P3Bkm0TqhFSl4ejeLiGNSiFZZidoHz9u/lb4sWYHd7Y+Vmg4EYs5lfx44jMSoq0N9OpeJkXh7/XLqI5UePANCjQUPqx8aw7dQpjuZkh1VK6h2dL+Glq/oXfv3dti28uXJZYSaWqihEm0zMu2WcfgMIMvqBbwhxuN3cMON7UvLyCg91J2/dzPoTyXw+bAQ/7NrJibzcEFt5PjFGE7NH34KqGPhkw1q2njpJvMXCoBatGNmuw0U/4g9u2Zqk2Dgmbd7I8dwcejdszJ1dLqGmJdLP30Hlp15MDF8Ov7Gwt8K5lbX5TiePzp/LH0cPh8q8QiwGlVY1E1h+9Agpebm0rZXIW6uWn5eC69Y08p1O/rt+La/2GxBCa3WKQ9/5B4A5e3fz3JJFPmPdRkVBESJsdnECeLhbDx7v2bvSHOKVl4KcAr55eQbLpv+JYlAYcHsfOvdtjynCRLterVCNlWMP9OXmjby1anmZssQCiQCijCYksjB5wa1pPgv3Ykwm+jVpxuCWrbi6afPwk4qogug7/xCy/XRqsQ22XWHWMUsIwWX1GoSl47fl2/j1899Z+eNa4mvHMfLJYXToXXqGkNPhQjUaUBQFt8vNo5c/T8rBVNxO78502r9+YvpbP2GOMqMaVV6c+RSX9O/I/k2HWDJlBR6PRp9Rvcq0VjDJdzjCouOaBPJdzjKNzXM6mbNvD78fPkiPBkn8LxRSETo+0Z1/AGhaIx7zBYVG4YomJfVjwy8ma82zcX+Xp0k9mobUvDvKVT+v59bnR3LHK6PxuD18/8YsfvtqKVmp2SiqgfrN62DPd5B65DQGo4EB4/rSuU9b0o5nFDr+s0gJ9nwH4OD5IW8y6smhzH7/V1wOF1LC/C8Wc+2d/Zjw4T2cPp5ObkYejdomYTKHLsPlysZN+HzTBmzuyifxYXW5WHsimaVHDnF10+ahNkcHPezjVzJtVkwGFSkll0/6jIJKoMOjACvuGk+9mODdAI7uTmbTom1ExUXSe0Q3ouK8B79SSr59dSY/TpxHfnZBsZpcnfu1Z+vSnWVay2Qx4bSVvktVDAraBfIZqtlAbHwMOem5mMwmEDDo3qu5bGBnuvTzho2CiZSSx3+bx+LDB4t9sgwH1DPicL4Y1bY9bw+8LsgWVS/KGvbRnX8FcXk8/HZwP++tXkVKXh4g6ZnUiKEtW/HM4oVBt8cgBEaDAY+mEWk0kuNwlDi+cWwcS+64Jyiys1JKPn50EvMnLQEpUVQFgeC1Oc/Sqmsz7mrzOBkp4dyWz4vJYkII+Mf3j9H7+u5BXVuTkt8PHWD2nl1oUmJSDKw8doRcZ9nCMKFEEYI7Ol/CC336hdqUKo3u/IPAT3t28eIfi8kPoz+8GhERbBrv7ZtzYfrduZgUA0aDge9uvInOder63Q6X08Xkl2cy97OF2AscdLyyLX1G9eSzpydjLzj/hhQVF8mlV3dixew1frejkAA1PRj/7jhuenIYLqeLA5sPs/DrP9i8ZDvRNaK4+tY+DLl/YGGoyGl3IhSB0eTf0JHD7ebGGVM4nJVZqIJqVhQe7t6TtAIr03dtD4tK4whVZdZNY8OzeUwVQnf+AWDpkUN8sWkD6VYrbWvVYuHBg9jDTGztni6X8vyZnZXD7Wb0rOkcyMzA6nJ5BeKEoHuDJPo0bsqNbdqREFnxlMv0lEw0t4fEhrUKnyBeGfUua+ZuLIy1C+ENrXjcPsIBQehGo6gKmq+1/TDv5cO7svbXzbgcRUMxqkll0N39WTp9FflZBQDUblyLdxa/RP1m/rvp2t0uZu3exW8H9hNvieC2Tl3oVj+JAqeT236cyf7MDDyahgLYQnQjUIDrWrTi9f4DqBHhW51Tp+Lozt/PfL5xPR+s/fOi5ISDhQJ8df1IrmzcpPA1p8fD/AP7WHzoIImRUYzp0ImWCQl+WS95/0leH/1vju0+gRCQ2DCB56Y8TuapbF4Y9i+/rFFVMUUY+SX/O5QgpD6e7RuxJyONxnHxTN2+lUWHDwZ8XV8YFYUWNROYO/b2sO1wVdnRUz39SL7Tyftr/8Qexo4fvPoyDePiznvNZDBwfeu2XO9n/XWnw8WTfV4g+3QuZzcQJ/af4ul+L6Mo+h91aTjtLub89zdGTBgU8LWEEPRIakiPpIYAFDid/H74YEg6wLk0jSPZWWw8mULXMzpIOqFBr7goA3vS0zCGeXGKUVHoXLceTWrEB2wNj8fD6WNpWPNsrJ27EbvVwYVPjm6XG4c9fDNRwomVs9eydNoqstNySh/sRxrXqEGEGrqUVZvbzY+7dxb57OgEF33nXwZqRUaGXXHWWYyKN2Omd6NG/OfawMnWLpm6go8f/QqHzYHmkTRun4TDWvSg2+Vw6zv/MrL1j53sXXcATdO4763bGPHI+b8/h82BQTX4vQK5fWJtWtasyfbTqSHr/zx153b2ZWYwfeTooIS+dIqix/xLINtuY0PKCWLNEby1chnb006HvLT+LCaDgQYxsXw+dAQJkRa/H6CdPpbGR49MYv1vWxACPG6tSB68jv8wW0y8v+p1WnRpyr6NB/n3fZ9yePsxFIPClTf24LFP7iush/AH2XYbD8z9mXUpJ/w258UwtEVrJg4eGlIbqhr6gW8F+WLTBt5bvRKjwYCUEpNBRQivWmcof2L1Y2KQEoa0bMWE7j2JNUf4df4tS3cw6/1f2bBgM263J+BZODp/MeKRQdz8t+u5p93j2PL/ah1pNKu0uKQZE/98w+9rvr96FRPXBzDFthQUYOP4h4mL8O/nuDqjH/hWgPUpyfxnzSocHk+hREM4VOsahOCb60fSvKZ/snUuZPo7P/PtKzNxWEsuDNMJDD99OJ8Fk5YUqUh2Odwc3n6U3Wv3IaW3LqJx2yS/rPl4r940qRHPs4t/wxmCp1qDUFh57Cg1LRZaJdQi2mTCZDDomUBBQHf+Pvh+29awzOyJMZlpWkKT8+KQUrJ9xW5W/7KBqLhIrr71Suo1rXPemNzMPCa/NB2nflgbUi4sgDuLx6PxdL+XUU0qHreHes3q8Pov/6BO40Sf48vDxpMpGBQDhMD5u6TGkwvnI5GFIVWLwcALffozpmOnoNtTndCdvw+yHfawjHZ8MGhIuRURNU3jzdsmsuaXDTisDgxGA1Pf/JGnvniA/mOvLBy3e/U+DEYVdOcflrjO/F7O3pyP7UrmmWte5as9Eyu0S96bkc6sPTtDutlxXdDS0ubx8NzSRUSZTAxrHV7KqlUJvxyzCyGuE0LsFUIcEEI86+N7A1DkAAAgAElEQVT9O4UQaUKILWf+3euPdQPFoOYtsaihvy96+70KYkwmvh0xiisbNSn3HGt/3cSaXzZgL3AgJbidHpw2J/++91OseX/10Y2pGe2zQlUnPNE0SebJbPasO1CheVYcPRIWMtG+eGXZ4lCbUKWpsIcTQhiAj4GBQDKwXggxR0q564Kh06WUEyq6XjAY0aYdU3ZsY2fa6ZD0UzUZDPRokMSdXS6hdmQ07RJrX/TubsnUlT5DCYqq8Pu3y+l/yxVE14iiTY+WRWSPdcIbW4GdjQu30qZ7i0Lp67pNy/dZiTGbMSqGsExlzrTbKXA6iTIFVz21uuCP7W134ICU8hCAEGIacD1wofOvNJhVlcd69OKheb8EXRCrRXxNZtw0xm+pm6rR4PN1W56dT578mo8e/RLFIAjTpC+dkpDw/RuzmPfF7+Sk5wFQq0FNXpj+JC0uaVqmKa5r3pJXly0NpJUV4u1VK+jftBnZDjvd6jegfkxsqE2qMvgj7NMAOH7O18lnXruQkUKIbUKIH4QQDf2wbkCZsXNH0B2/yWDgri6X+jVnv1aD4jOD3E43UpN4XFpARM90Ao/b6SbteAZOmxOnzUnKgVM8fuULFOQUlOn6uIgI/jdsBDEmE9Fn/kWoKvFhknr57fYtPDRvDs8vWUT/yZN4a9VyvTLYT/hj5+/rGfPC384vwFQppUMI8QDwDdC/yERCjAfGAzRq1MgPpl0cR7OzWRJk4StVCAa1aMnoDv7NcNi7vmIxYZ3Kh8Pq4Ps3ZjP+7dvLNP7yho1Yd++DrEtJRtMkPZKSkBIun/Q5OQ576RMEmHPFFCdv3UL3Bkn0a9IshBZVDfyx808Gzt3JJwEp5w6QUmZIKc8Gnv8HXOZrIinl51LKrlLKromJFU9hu1gmb9vssxl1oFCFQtP4mrw7cJDf+5u6XdUjjq8YFIxm717GaFJRDAqqyXfIC/C9ZalCLJ+1ulzjzarKlY2acFWTpkSoRixGI7NuHkvD2PAKs9jcLr7btiXUZlQJ/OH81wMthRBNhRAmYAww59wBQoh653w5HNjth3X9jpSSd1at4Jutm4Oa6umWGil5uSw/dsSv86YeTWPfxkN+nTPY1Gtam7vfvIU6jWuVOO6yazpx1+tj6X1Dd0Y9NYwvd/2HIeMHYo4selhojjQRV6uMTq2S3iRSD6excPIfFZqjWXxNlt15HwmW8NLeD4eCy6pAhcM+Ukq3EGIC8BtgACZJKXcKIV4FNkgp5wCPCiGGA24gE7izousGgk83rOOLzRtCkuFT4HKx9dQpvz7OfjjhCxzFFA2FM4pBITLGwodr3ySppXffULNODT548HNcDt9PMjc+PpSuAztz01N/vTZh4j1MmHgPToeLBV8uYdG3y1CNBgbfN4CTB1P57vUfCpvDF0ejNg2wFThIO5but+8vWHzw4OfUb1aHDldUTM77XwOuZcK8Xwqr3UOJRVUZ1rJ1qM2oEujaPmdwaxrt/vtByITbIo1GXujTj9HtO/plvu0rdvNk3xfDXpvHbDFx52tjiI6PZveavWSl5tC2R0sG3zfgvN250+7koW7PcnTX8SLfU+e+7Xln8UvlSnHMzchjTNL4Ym8mAOZIMw+8dweXDezEg5f9HXuBA4879A6wPETViGTcSzcz9P6BFWo4v+5EMhPX/snBrCxOF+SH7GPVOK4GC269A3MY1OGEK7qwWzmZt38fE+b/ErT1zkUAsWYzK+4aT7QfcpodNgcPdX2GY7tDq9gIUK9ZbU4ePu3zJtRjyCXc8+ZtNO1QtsN9W76NHyfOY+5ni8jLKiC+dhzjXrqJfrdcgcFQQny/GKa8OYvJL83w2VrSHGmicbuG/Gf5q5giTKQeTWPqmz+ybdlO6jRJpP8tV/Lv+z6tFLURZouJph0b8f7K1zGo5f85nUu+08kln32MR4Zmk5QYGcmaex7gVH4+qQX5tKiZ4Je/maqE7vzLyd8XzeeH3YEtTfDVqlZVFJrH1+SD64bQKqHkuHZpSCmZ9q8fmfJ/s4vViAkWBqOBJz67n2vv7IemaSydupI5n/xGQY6VSwd04o5XRhMVW/H+wRXBVmDnwUv/Ttrx9ELZBIOqULdpbW55biR9x/QubL7ui9PH0nj7zo/ZsWoPUkqkJksNI4UKS3QEf/vqYa4c2bPCcw2eMpk96Wl+sKr8qIpC13r12XzqJEaDAbem8cBl3Xmke09dDO4MuvMvJ93/9wnpNmtA1xjesjVDWrVh7YnjxJoj6NO4CQ1iYkmM8o9O+6LJy/jgwc9x2Io2WQk2by9+kUv6+SeEFUgKcq38OHEeK2atIbpGFDc8OpjeI7qXy5HY8m2kp2Ryf+enSwwjhZqh9w/ksU/GV3ie7adTuWXWdFyahtPjIUJVkRIkMui1MQAW1ci/BlzDsFa6DhDozr9E1qck838rlrEnPY1akVH0btiQGbt2BmStcxnXqQsv9706IHMX5FoZ2/B+bHmhz8tGwMfr/oVqVPn0qW/YtXov0fHRjHpiKDc+PqTKdW4qyLVyX8cnyTiRiRamO3+AZp0b07JLU9Yv3EpMfBQ3Pj6UQff0v6gd86n8PKZs38aBzAwurVef61u34brvvyHLHprPX/vE2vwytmx1DVUdXc+/GLacOskdP80qVDE8kZcbFMcPcGm9+gGb+5Gez4WH4weQ8MkTX3Nwy5HCpiQOayZfvzid1KNpPPzB3SE20L/M/2IxuRl5Ye34AQ5tPcqhbUdBQubJLD55/CsObz96Ub+PutExPNmrNwBz9u5mwLdfkecM3RNnWkHZKpp1/qJqbcF84HC7WXTwALN37yQlL5d/r1kVEvlas8HAED+mqEkp2bNuP3M/W8ikf07h+J7QH+6ey971B4uEnxxWB/P+9zu5mXkhsiowbFmyw2c/44goM6qp6P5KUUP4Z3fO/cludTD3s0VkpWZf9HSbT6bwj8ULQ+r4AZrFx4d0/cpIld75b009xR0//YCmSTQkHk3zewVtWbm5XUcWHz5I3ybNMF1EZsq5WPNs/H3Aq+zfdChs++oKgU/bjGYjyftO0q5nTAisCgz1mtfBoBqKpoEKwYsznmTptFVsXLQNzaPRqU9bWvdoyVfPTw2NsRfgdroZ3+VpXpjxJJ2ubFfu6/+3aUNYND7ytyxKdaDKOn+3pnHPnNnkOs7PelFCVLI5dcc2Zu/Zhcmg8P2NN9OmVtnkK04fT+ebF6ezfsEWouMjGfn4UPZuOMi+DQfDVuDKZDHS6rLm7Pxzb5HsF5fDRd0moZPuCATXP3wd879cfJ7zN6gG6japTc9hXek1vNt54/OzC/jmxelhc+POTs3h6b4v8+Ha/6N11xbluvZkfl7IS0miVCORqpF75symwOVieKs2jGzbXq8FKIUqG/bZkHICp4+CHA0Zkt2/W2oUuJxk2e3c+8uPZXLcWadzePDSv/P7d8vJSs3m+J4UPnniaxZ8uSQsHL9qUlFUBaH89fOMjI1gwof3MOHDe4oUFZksJi4f0Z2adavWI3pSq/q8PPvvJNSPxxxpwmg20r53a95a+E+fh6nRNaJ49rtHw0o6QkrJG2PfL/d1vRs2qvCTbEVQheCa5i14/LdfWXrkMOtOJPPGij+4ZfYMXGFQkRzOVNlbo93tLvaPq3FcDZJzc0LWwCLbbmd3ehrtEmuXOO6nifOw5dvO2yGGOo3ToCq8Pvc52nRvgSUmguR9J9m0aBvmKDOd+rSlXrM6hQVXr//yLB889D9SDpzCaFK57p7+jH9nXEjtDxRdr+nMlGOfknokjYjoCOJrx5U4vlb9mpgijDht4aNTc/JgKm/d8SFPT3qozEVzd3W5jOk7d5DrsBf792RSDEip4fLzhsUgBAKYs2/PeUKMNrebvRnpLDx4gCGtdCmI4qiyzr9b/QY+pRrMBkNIHT+AQOAoQ5x02/JdYZU3braYuP2lm+h6TefC1xq3TaJx2ySf47v068BXuz/AYXOgmtSLqsKtTCiKQr1mdco0dtb7c8PK8Z9l2czVtLysGTc+OgQpJbZ8OxFR5mLTcxMiI5l3yzj+u2Etfxw5TILFwjXNW/Lbwf1sOXUSi9HI2A6d2JOexqrjx/xqq0dKitvbW10ulhw5pDv/Eqiyzj/KZOKN/gN5fski3B4PbimxnClGubBhtL+5rWNnFh46QI7NhkvKIkJxBkXQoXbpTqJBi7rsWr0vLGLDqkll1FPDuPlv15f7WrPFHACLKjeZJ7NCbYJPXHYXnz75DYe3H+PPn9dTkG0lMtbCbS+M5IZHh/gMYyVGRfHSVf156aq/Xht/WTeklFhdLr7dtoUNJ4KbjaYKQS1LaCvIw50qX+R1MDODGbt2kGWzsT8zg62pp/xgXfH8b+gIrm7WHPCmmd46eyZ7MtKwulwYFQMGRfDRoGH0b1q6eufhHcd4pOc/fKYRBhuhCOISYpi05wNi4qNDbU6lZ8r/zeL712fjtBf93UbGWkioF8+Jg6fCpsOaOdLMfW/dyvUPDyrzNbvSTnPD9O9D8pQdoarMHXs7zeJrBn3tUFPWIq8qe+B7luY1E/jHFVdxc/uO7M/ICOha9WNiCh0/eBtkTBs1mncHDmJsh4480LUbi267q0yOH6Bph0a89MPTJCYlVFiQq6JIzRsCmP/lkpDaUVUY/tB11KgTi/Ec7SBzpJk7XxtNrQY1ST+RGVY6QQ6rg+9fn1Wua277cWZQHX+kqhJtMhFlNPLuwOuqpeMvD1U27HMha5KPY3MHNsZ6Mi8PKeV5j8aqonBdi5Zc16JlideeOnKayS/P4PieE3Ts045xL99ERGQEbXu2oveN3fn5o/kBtb0sOGxOdq/ZF2ozqgTRNaL4dNM7/PThfFb/soH4OnHc+NgQ5n+5hJQDp3C7wi9TJSs1B03TyiTPcTIvl+wgSj2oisLN7TtybfOWdKlbT0/zLAPV5icUb7EghAhoimSk0XhROilr5m7gxRFvF+709qw7wI8Tf+WBf9/JJ49/5VNyOBQYzUYat/N9uKtTfmLio7n9xZu4/cWbANA0jX8OfTMsHT9AncaJZdZlyrLZAmzN+bg1jTl793Bz+4664y8jVT7sc5YW8TUD2qFLALd07FzquAvRNI3Xx7xf5BHf7fTw0YQvg+74z83ZvxDVaGDo/QODaE31I2z0gS74GJgtJu4rY0N48IZbg02m3cbQqd/y856w7BIbdlQL5y+l5G+LFgR0DUUInurZu9zXJe87icMaHq0WG7apT78xvTGaVe+/CCMGVcGgGmjepQnvLn2ZWg2C/0ddXVAUhUv6d0Ap4QYcDJp0bMgL05+keecmmCPNNOnQiOemPs5VN/Uq8xy5DgeGEBRTalLy1KL5WEOsNVQZqBbPR+tTTpBmDbzq37qUE1zRqHG5rjFbwqcLUfLek3y8/i0e/+x+rLk24uvE4XZ58LjcWKLDq4l3VeWxT8fzaM/nsFsdIWnII4Rg7LM30mdUL/qMKruzvxBVUVCEgkcGP4SlScl327cy/rJupQ+uxlSLnX8wug55pOSXfXvKfV2dxolEx/unmUtFOXseYomKIKFePIqiYDIbdccfROo1rcM3Bz7igffuYOAdfTEYg5vlJaVk5ey1FZ4n3mKhc526Idn9A+zPDGxmX1WgSjv/1Px87vhpFq8tX4ojwDofAu9u52J4c/7zKIbQ/yqEIrBERYTajGpPZIyFIeMH8rdJD1GncfBF8Fb9vI5nrnmNm+vdy9iG9/Pfx7+6KNnnD64bQr2YGKKMJiKCfAibYNE3LKUReo8TINyaxqiZU/nz+NHzdD8CRYSqMrJt+4u6tk33lszO/JqRTw6jS/8O3PrCSFp3L5+6oj+44oYeQV9Tp3iEEDw/9XEiYy2YI4MXHtTcGpt+30ZWag7pJzL5ceI87mrzGBnlrEquFxPD0nH38PHgYbzQpx/mIMp7lKWCvrpTZSt8Fx86yOO//UqBK7C5/QIwGQyMv6wbT1zEgW9xpCVncEfLR3A5gqP/0qBlPSaufoPYmlVHZ7+qkJuZx+LvV3D6WDqLvvmDnPTQNMNJqB/P5AMfFVFrLSuDv/+GPRnpfrbKN6vvvp860dWzEr3aV/gey83B7gqsKJoiBCPbtue32+70q+MHSExK4K2F/8QUYSx9cAUxmlW+3PUf3fGHKbE1Y7jhkcHc/844HvtkfFCfAs4lIyWLr16YdtHX5ziCc4B9dZNm1dbxl4cq6/ydHg+eALeZiFBVXul7NY3iavh1Xo/bwxfPfsdzg/8Ppz3wO//B9w6o8oqbVYUrR/bkhRlP0ahtg5CsP+s/c0lPybyoawMtqAhQ02Lhzi6XBnydqkCVdf4LDgRehuCfV/bFYvT/zvyTJ7/mp4/mByXVLyLKzL1v3RbwdXT8Q9bpHFpc0pSu13UJyfpSk8x+/9eLunZgs+YXnRRRVjJtNu6b+xNrko8HdJ2qQJXN8z+emxPQ+SNVI4mR/k/RtOXbmP/F4qDs+AHeX/kaEZG65HK4c+LASf5v7Psc3nEMEIgQPqjtWFn+lGaAR7r3Yu6+vQFv9m53u3l71XJmj741oOtUdvxyGxZCXCeE2CuEOCCEeNbH+2YhxPQz768VQjTxx7ol0SYhsClyGpKm8f5vR5hxMjtoCp5JrevTvHPToKylc/E4HS6euPIF9m8+jMvhxuVw4bQGdnOgFlNfIBRBg1Z1yz3fggP7GPz95IA7/rPsOH06LFqdhjMV3vkLIQzAx8BAIBlYL4SYI6Xcdc6we4AsKWULIcQY4C1gdEXXLomnL7+CW2bP8LZzDAC9khoGRDI2MalmcD60Aq67q1/g19GpMKvnbMBudQRV4vmq0b1JS05n27JdnHt0JjWJswz9JRxuN19s3sCMnTuwuVxk2+24ZfB0qjxSY8upk1xSr37Q1qxs+GPn3x04IKU8JKV0AtOAC9s9XQ98c+b/PwBXi4uRvywHXerWY/KIUTSIifX73JfUrcvHg4f5fV7wdr0a/cyIgMs+qCaVQfdcHdA1dPxD2vH0oLbzVI0q9787jjHP3OBTxXPtr5vOhJ98I6Xknjk/8vH6tRzPzSHdZg2q4z/Ln8n+bRtZ1fCH828AnHu6knzmNZ9jpJRuIAcIuEJY1/oNuKPzJZgU/4ZRBjRrQYQauBTMW58fyQP/uTOgVb9dB3YK2Nw6/qV1txbFhmECwYuzniK+dhw7Vu722UJU0zQ2LdpW7PWbT51k86mTAXvqLgtmg4EaEXqVb0n4w7v42sFf+HxaljEIIcYLITYIITakpV2cHo9b01h4cD+vL/+DLzdtoFuDJPz9jJEQ4N6gQogz3bsC5/w3/r6dezs8Qeap8Owlq/MXHa5oQ1Lr+iXKbfuTb16azsnDqUTFRWI0F40MG1QDUXHF/w1sSz2FFoKd/rl4pGRIy1YhtSHc8Yd3SQYanvN1EpBS3BghhArEAUWShaWUn0spu0opuyYmlv/A1u52MWrmVJ5cOJ9JWzby7upVjP1hGo3i4nzefS6WV5ct4UBmOt9t28JXWzZxNLv8uiclIaXkwwlfBPRR32V3kZuZz/dvzA7YGjr+YfuK3RzbnRy0mP/BzUd46qqXuOrmy4tt3nLFjcVLgdSPiUH189N2eXFrGosOHgipDeGOP5z/eqClEKKpEMIEjAHmXDBmDnDHmf+PApbIAJxqfr1lM/sy0rGekXRweNzYPR72Z2b6tdzL6nZzzXff8MqyJfxr5TKu+/4bJq7903/z59lIT764Qpry4HF5WPvrxoCvo1MxPnv6G5y24KT+niUtOYNXR77LI/+9F0t0BJGxFiJjLUTXiOK1Oc8SXaP4NOe+TZoRbTKihEjRE7xhhRf/WBwUKffKSoWd/5kY/gTgN2A3MENKuVMI8aoQYviZYV8CCUKIA8CTQJF0UH/w455dQY0zeqTEpWk4PG4+3bieHadT/TKv2WIKWow3Jv78MngtiA23dcrG4e2hObjct/EQXz77PVOOf8o/pz3B8IeupVG7JD7/+7fMfG8ODpvvIkSTwcCMUWPpVKcuJsWAqih+ffIuK4oQLDl0MAQrVw78UuQlpZwHzLvgtRfP+b8duMkfa5WEMcDVgyXhdLuZs3e3X9QEVaPKtXf1Y85/f/ODZSVTv0VdPnnya4Qi+GP6KjJOZFGzXjx3vjaaQXfr2UDhQI3aNUg7HhxBtAvJSs3hiSteoFW35iyfubqw6vzYrmSWTlvFxD/fQDUWdSMN4+KYffMtZFitjJw5hWM5gS26LJYQPn2EO1VK3mFMh05YQtS8WYJfpaPvezs4kgurflrL7Pd/Zda/55Jxwnv4m3kyi48f/YoFXy0Jig06JXPLczeEtAr72N4TLP5+xXlyIw6bk+N7U0pt/JIQGUlKXmhUSDUpubpp85CsXRmocs7/ikZNsKgqpiA/BZgMBoa2bO23+SIiI4iICvwfvMflO8zjsDr44tnvyUnPDbgNOiUzZPxAbntxVNC7ep1Fc2to7qKfE3u+nY2LtpZ6fSBqbUrCpBgwG1Re7Xs1tSIDm5lXmalSzl9VFD4bej3TRo3h2SuuYkCT4N3168XE+L2acNzLN/t1vvKSk5bLmIb38969n+BxB78Xq44XIQQjHhmE9JFzHzwjir6kmlQS6pde5f50ryv8XmtTHBEGlUijSoRqYN6BfX47h6uKVCnnf5aOtetwZ5dL+XjIMNQgxfxiTP7fpd/01HBu/edIFEPo4pZuh5ul01by7WszQ2aDDmz8fRtaEOUdzsVkMRIRZS4SPjeoCtfd3b/U64e0as0b/QcE5dDX7nGT7XCQ43Cw7OgRRv8wje36DcAnVdL5n8VoMDBp+I0BPwhWhaB7/aSAzH3nq2O44bEhAZm7rDisTn7+cEFIbajuWHNsQV9TMShERJnp3LcD7694nfrN6xIRacYSYyE2IYaXfniauk1qlzpPvtPJpC2bsASwKr44bG437/y5IujrVgaqrKTzWa5o3IQ19zzA4CmTSS3ID8gabin5Zttmsuw2Xu03gEg/a/yv+GGNX+e7GApyraE2oVrTrlcrhCKCUuglFEFcYizDHriGywZ29q4tBF/tncixPSdw2pw069S4zOqz/12/hoNZmTg9oQkdbk/Vd/6+qNI7/7PEWyxYXYGVknVrGnP27eHheb/4fW6XM3QaKWdpdVmzUJtQranfvC41ascFZS2pSay5NpZOXUmzTo04q8EohKBx2yRaXtqsXLLjP+/dEzLHD1BPb+nok2rh/IGg6Ii7NY01ycdI9kMjmfSUTGb9Zy7/GPQGWaf8Kx9RHhSDQkSkmYc+uDtkNlQHylLwbomJCIIlXpw2J2nHM5j3xeIKzxXKSl+LqvJIj14hWz+cqfJhH/Dm+wYLj5Qcy8kmKfbid2krZq/lrdsn4nZ78LhCt2OKjLVw+fXdGPPMCBq3a1j6BTrl5uShVCY+/AWbft+GajRw1ejLefj9u4iKiyInI5flP6xh+/JdRMZEUrdxIikHTvmQRAwMDpuTZTNWM/LxoRWa58a27fhwXWBClwYgNiKCeIuFDKuNGLOJ0wUFKEJgMhj4W68rGNRCF3jzRbVw/ooQGISCJwhKg25NY1vqKS5v2Piirrfl23hr3Ic4bMHpeFQStRvV4plvHgm1GVWWgpwCJvT8B3mZ+d4mKR6NP6au4tCWI9RrUZdVP647L8avGJWgOf6z7Nt4kJOHU6nX9OIr1x/s2p3vtm0hy273o2XesEX/Zs15vf/A81qqOtxusu12EiIjA94zuDJTpX8yNpeL5NwcnB4PN7fvELR1p+zYftHXbvp9e0ClnMvD0V3JoTahSrNw8jIcVud5Dt7ldHN4x3FW/7S+yOGuVkxBXiDR3B6+fmFaheaIUI30a+L/M6N9jzzJZ0NHFOmlbVZV6kRH646/FKrkzt+jaby5chlTdmxDIFCE4JFuPejXuAlLjx4J+PrZ9otPywtwg7NyYbaY2L/pEFPfnM3BLUdJbJjAjY8P4fLh3UJtWpXg0NajOKxFxdF8NVAJFVLC5sXl28y4NW8LRY+mcUm9+uQ5HPy6f69f7aofHR0SsbiqRJV0/v9evYop27diPyfD4J3VK+nXpBlmgwFHgDMPLKqR7adT6XgRIm+XDOgYNn/8DquTh7o+U/h1ysFT7Fm3n5uevp47Qlx9XBVocWlTIqabz9PMCUdia8WUeezGkye4f+7PON0eECAQ3Naps9/7Up+2Wrl80me8fNXVXNuipV/nri6IcO1w37VrV7lhw4ZyX+fRNDp9+iG2ELaQE3gfPT+4dggDm7co9/Vr5m7k9dH/BgFupxtNkxhUBZPZiGo2kpeRH5wm78VgNKlMO/E5sQlldwo6RSnItXJny0fIzcgrrN5VTSoetyeozdpLIiLKzISJ93DtXf1KHZvvdNLry88oCHBa9bmYDQZGt+9Ircgo+jdtRrvE0ovOqjpCiI1Syq6ljatyQTGb240jhI4fvGdydreb55cuuqhMo55DL+O7I//l/nfGcfcbt/DZlneZb5/GP6Y8QX5maB0/eOPSv3y6MKQ2VHaWTFnBw92exZpnwxITgaIqmCPNDLi9D+NeDrj6ealExlowRRi5fsIgrrmzb5mu8XbOCu5n0+Hx8O22LXyw9k9GzZzKy38sDvnfR2WhyoV9ooxGokxm8py+H6UNQvhVerkk8p1OUvJyLyrts0ZiHMMevPa815Z8vzxk+i4X8uPEeVw6sBOrflyHajTQd3RvmrTX00HLwi+f/sZnT39bGO932l0YVIXoGpEc232C2kkJIbWv35jeDH/oWhq3b1ik2U9JZDvsuEJQzHVWTt3jdjNz1w4GtWhFjyT9s1gaVc75CyG4q/MlTFxfNK/YZDDQqU5dNp9MCcoNQJPSr4Jv2WnhI6+cn1XA031fwuV0oyiCme/9wh2vjObmp4eXfnE1RtM0vn5hWpGDXo9bIyMli4yULHb96d/D0QspSRlQCmkAACAASURBVCZCKF4F0Xa9yi9PfnnDRkHbWBWH3e1mzr7duvMvA1Uu7APwaM/LqRtVdMdiNqh8NuR6vhh+Q1C6ftWNiiYuouJVmW6Xm+0rdpMY4h3huXjcHpx2F1KTeNwaTpuTb16cxuljaaE2LazJzy7AlufffPfyohgEqtn3vm/EhItz/FC2KuXgoOcBlYUq6fwVIfh57G30bdwUVVEwCIWOtesw46YxxFssXNW4KcNatQm4ymBybk6F5WQ3Ld7OTXXv5Z/D3mR5GAi8lYgQrP5FbwhfElGxkRjNwVe3PBePS8Pt8J6LKQZBfJ04+o3pzefb3uOh9++66HlXHD0S1Gp6X5gMBka0aRtSGyoLVS7sc5bEyCgmXX8jdrcLtyaJNpnOe//tgdfh1jTm7ttDoBIrNWD6jm2063s1x3JziDWZSShHZ6Gc9FxeGvFW2KcCnkUIEbTG85UVt8tNs86N2bFyT6hNAUDzSPKzC3jifw9giarYU+rh7KxgFyAXYVS79nQLkLx6VaPKOv+zRBSzu1eEYPmxIwFz/GeZumMbP+zagUdKhBD0SmrIB9cNoUaEpdRrl05b5fOA16AqeHy01Qs1UtO4fET3UJsRNDxuD+sXbCHl4Cmad25Cp6vaFVukl5OeyzcvTWfeF4tDqtfkEyGw5dkq7PyP5oRQgFAIujdI4rV+A0NmQ2Wjyjv/4vBoGtl+1hrxhQSc2hlHLSUrjx3l3jk/MqF7L1weDz2TGhJj9n0onJeZj8vuKjqn5s0Hd4eB1PO5NOnU2FsSWg3IOJnF473/SU5GLm6nB4PRQKO2DXh38UtYor03dpfTxR/T/+TPn9ez6fdt2AscYVPAdy6xNaOJr1OjwvMYg9Sq8UIUIbimWQveGXhdSNavrFRb529QFJrUqMGR7ODuViSw6dRJJsz/BUUI3JrGG/0HckObdkXGXjqgEzPe+blI2Ec1q8TViiXzVFZY7SL3rTvA+M5P8eXO/xCb4G3a7bA5cNicxMRHh5V0RUV57+7/kpacXvgE5nK42L/xEK+Mepexz95AQY6Vya/M5MT+k2EbthNCYLIYeeyT8X753dzUrgPrU05gcxfdsPgbo6IwsFkLhrduS48GSX5JrKhuVLkK3/Kw5PAhJsz/BXuIi8LMBpX5t46jSY34816XUvLqTe+x4bcthQ4kIspMz2FdmTDxbj7/27csnrIirG4AZ7nluRtIOZjKyh/XgZTUqB3Hg/+5gz6jLg+1aT5xOV2smLWWXav30aBlXQbc1qfYHHen3fn/7Z13fFRV+v/f505PD+kJhN57b6JUFZSyFJGioNjr7rqrbvm6q/vdtez+vuquurrqWhEVEBEEQRAQBamG3lsIIQkkkJA29fz+mCESMyGTTDKTct6v17wyM/fOvc+Zm3nuOc95zudhQsTtlRa113QaOr2G3Vq/RmbwU2nGhNQ4mndMZvrjE+nY3/dV6FJK9p3L4cylArrFJZASEVG2rcRuZ+Bbr1NYxyt8zTodo9u246UbbgpqrYD6iq8rfJu08wfYfDqdF3/YxImLeeSXlOIIwpSVXtO4v98AfjVoaIVtTqeTDZ9uZvV76xFCcOMdIxg2dRCaJ1XV6XSrLn720pfYvISI6ht9xvTg8Xce5M0n57Nx0WacThedBrSnbc+WJLSKY+TMYcQmNwuoTZcuFPLwoN+Td/YCJYWlmCxG9EY9/7fhGdr0cEtz55w+z/dLtmIOMdHvxl7c1uaBejnvUg4BD//rTvZtOszWFT8CcM3kAdz13GwiYyOq+HBF8kqKmfv5Yo5duIBOE9idTm7u0InnRl2P1elk7ueL2H42s7ZbAbjrZLeObsaEjp25JrUlPRMS6+Q8jQHl/GvA0xvW8t6utICe8zJze/bmqetG1vjzF8/lMyP1vrIUvvqMEMJrTrjBZEDTBH9a/Bv639g7YPa8+uh/+fKNryuUy4yMi2D49CGc2pdB2rq95bYZzYZ6f7PVdBoDxvXhL0ufqHpnH7hj6WdsOn0Ku+unm55J0+ibnMKOs5l1Lpho0ulYP+cuElRZxqvSZLV9/GFy526YgqABHqI3MKpNW7+OERUXyeRHb6oli+qWyjocdqsda4mNP9z0LLNa3897f/6E4ks1l8e+TFF+EaVepJMv8+3CzV7rJOefK2DpK19VcPxAvXf84JaG3rE6jYK8S34fq8BqreD4AawuF5syTte54wd3Dv/pWiiRqnCjnP8VdI9PYGRr/5xwdTHr9HSJi6NVZHTVO1fBXc/Owhxae3ISwUJKSc6p83z4l0Xc3/e3nMvIrTS+DlBSVMq3izazdv5G8s//JIFxbNdJ7uvzW6bEz+MX0XP44/hnuZBT0Xlo9aR4Tl2g6XQU5Rf7fZzSAEziVoXN6aRNtP+/E4Ubv7J9hBDNgE+AVsBJ4BYp5QUv+zmByxUh0qWU9VYApn1MLCuPHQnIuSKMRkocDg7lnmf0B/9lTJt2/GHYcNafOoHD5WJEq9Ykh/semxVCcPufb+E/v/2gDq0OIBIyj2ZzW5sH3K+FwGQxMmrWMOY9O4tLuZd45ZF32LbqR/QGPTqdhsPu5P4X53DN5EH8+rqnKC74aeSwffUufjPiT7y190WEEBzafoxd6/bSmOUAzKEm4lNj/T5OXEgoBp2uQs8/UFj0eqZ16UYzi++LJBVXx99UzyeBtVLK54QQT3peewswlkgpe/l5roCQXVQYsHMV2NxZEXbP36+OHmHl0cMYdTok8L/fruOxwddwV58qw3dlTP31eLau2Enaun11YXJQuHJitdhewsq317Jp6TZyM3/qZ9gcP2WYvP7Y+2QcOlsh28Zpd3LudC5p6/ey/N9fs2XFTuw2O676PnHrA5qmERJhxlpsw25zeNI4jTz62t3odP7n3wsh6J2YxPen02vBWt8xaBqxISHc2bsvd/TqG9BzN3b8mvAVQhwChkspzwohkoD1UsoKqlBCiEIpZbVmaYIx4Qvw1ZHDPLByWcDPWxlmvZ6l02fTPsZ3UTeXy8Ufb36WbavSAl7wu74QGRdBvhcVVKEJUtonkZN+HltJ4IqO1DXmMBN3PzebrJPn2LV+H0mt45n2mwnVSuOsit+vXc3H+2pen7q6PHXtCOb26hOw8zUWfJ3w9bfnnyClPAvguQFUVkbHLITYDjiA56SUn3vbSQhxD3APQGpqqp+m1YzRbduREBpKdlFRUM7/c+xOJ18cOsBjQ67x+TOapvHAS3dwX5/Hy0kHa3rNvcK0CdwQvDl+AOmSZByqm3TEYCKEoEWnFCY8ULurXPflZPOPzd+xLfMMxfbAxv1f2LSRHgmJ9ElKDuh5mwpVznQJIdYIIfZ6eUysxnlSPXeimcBLQgivs6pSyv9IKftJKfvFxcVV4/C1h17TWDbjdq5v0w5NCAQQog/eQmiXlDWKszbvkMwzS58grkUMRosRg1FP92s6oTc02UXdjRahCcKiQulxXcVV4v5w4FwOtyz6mA2nTgbc8YNbm/9VL3U5FLVDlZ5ASjm6sm1CiGwhRNIVYZ+cSo6R6fl7XAixHugNHKuZyXVPbEgIr988sSwlcdWxozy44ougdJglEBcSwqRP5pOef5EOzWL5zZBr6JecUuVn+4zqzvyT/+b8mTzMoSbCo8N4euo/3LHuBpCqqKgao8VAUptEnvn88VqJ7V/JPzZ/F/TV74GWX2lK+Jvj9gUwx/N8DrD05zsIIaKFECbP81hgKLDfz/MGhEs2K2/t3M6i/XsJMQRPg/2FTRvZnZ3FxdJStmZmcPvni9h6JsOnzwohiGseUyZV8MT7DzNs8kAMJgMmi5GrrY43hRgr36gIOuZQE2+k/T/e2vN/JLet/RWvu7Ozgxoh1AlBD7WSt87w1/k/B4wRQhwBxnheI4ToJ4R4y7NPZ2C7EGIXsA53zL/eO//swkLGfPAuL/6wiW9OHsfqdKIJgS4IWiI/D/uUOhz8beOGGh3LHGLidx8+yqKct/nvgZd48F93YgrxvjagPmrTKNzojXqmPzGJ5u2T6uwcyeHhdXZsXzDp9Tw8YFBQbWjM+BUAllLmAqO8vL8duMvzfBPQ3Z/zBIN/bN5IXklxWU1Sh8cBt46KItpsYWfW2WCax56cLNLzL5IaWTMp3pBwCyHhFiY+MBajychrv3yngvpkfZQfbmoIzT160zT3GobLuJwuklpXll9RO9zbdwAPBSHzLcxgoE9yCk8MvZY20YHVeWpKNN6ljX6y7sQJr8WoMwoKeGTgYIxBkIG4EgncsvBjbLWwrH7svFFlAmaK+kFSmwTeP/YKn51/l89y38VoKR+CczldvHjPG5w5WnedkKEtUgO+/K1tVDN23/8I706cQufY4CR9NBVU6kclWAwGKPWuK7PiyGHqw6rQIrudb04c58Z27f0+VtehnTi843i9KxDT2NE0DZ1Bo98NvTh/Jo+ImDAmPjiWweN/StPesHCz1/Rcp8PJ6vfWc8dfZtSKLZmXCvjTurVsSHfX4o0NCcGi11McwEnf+/s3nUpwwUY5/0qY3aMXL2/ZVC7bwaBp9E5K5ovDB7G5gq+hb3M6OFvov2gXwORf3sTKt9ZS7HB6LR15mci4cMwhZs5l5KqwUG0g4IPjrxGTVLlmTVF+MU4v37XD7qQg1/cV6RdLS3hjxza+OnqEcKOROb36MLmTu/RkgbWU8Qs+5MIVHZ6cAK51EcC49h2Y5KWokaJuUM6/Eub17su+nGy+Pn4Mg07DJSWto6IZlNKcnXWkWV5d7C4Xz25cz5rjR/njtSP8GibHJjfj1W3P8dbv5rNzzW6K80sqqG+aQoxMengcH/31M58cf0ikheJ8/1U5GzMup4vohMir7tN7ZDekl7Ue5lATg272TfKg0GZjwoIPyS4qLEsgeGrdWtKyzvKHYdfx1Lq15Rx/IGgZGcXYdu2JMlsY3aatiu8HGOX8K0Gvafxz7M2cvHiB/efO0Twigu7xCczfswu90HDUeel333BIyeaM09yycAFfzry9xhPAAMltE3nq08cAWPvRRl6853XsVgcupwtzqInkton0u6EXn/79C+zWqtcJtOiYwsm96ViLG4+MQm0TEm4pK8xTGUltEpj40FiW/XtVuYpu3Yd1pv+NvklmLdq/l6yiwrLEBYASh535e3ax+MC+gObzd4yJZfmM29AFed6sqaOcfxW0ioouV15xbLsO/O27mqVZ1iVFdju/WrWCf469mZRqKIFWxqiZw2jdLZVl/15FXvZFBt3Ul1GzhoFn1XNVGEx6QiNC6mWJyaAgqBi3F3D332f79PG7n59Nn9E9WPnWGkqLbYyaeQ3X3TKkyhsHgNPl4r1dP5Zz/FcSSMdv0ukY266Dcvz1AFXJqwZ8c+I4j3y1HACrw4FTSkw6XUAKWlSFSafj4QGDeaD/wLL3iu12vj5+lPzSUoa2SKVtM99F4ryx/I3VvP7Y++V0g36OJczMEx88wrOzXlI9f9zfx43zRvLV299QUlRKeFQYd//9NsbeWf3qbXanky1nMrA5nQxIaU6YseJivKzCS+g0DafLxeRPPyKrMHBqtZWhCUGUycyq2XOJCVHSzHWFKuNYx5TY7Ww6nY5EMqRFS8Z88I7XyVdvHb66xqzX88nUW+ken8CPZzOZs3QxUkocLhdCCKZ06sozI0Yh/Fiwtn31Lj554XPOZ+TReVB7Mo9lcWjbMYQQxKfG8vh7D9F5YHtub/sQWSe9qn40KQwmA/NP/Zvo+KvH96/GmYICnlyziu8z0hGAQadDALf16E1KRDhtopoRZbHwq1VfklFQgKyhLpS/CCA2JJRfDhxMbkkJi/bvpdBm49qWrXhsyDW1MjJVVE6gVD2bLBZD+dKLoV56X8HC5nCwaP9erA479yxbSqGtfM978cF9XNuyFWPa1lzut9/1Pel3fc9y7126UIit1E6zxKiyG4vOULnejNFsILF1PPe9OJeCcwW8eM8bWOuJzLLQBPIqWU/VwWDS02dMD78cf15JMeMXvM9Fq3u0JaFsjcdbP25HAEZNw+ZyBV20tVVUFCtnzcXo0Rp6SK3SrZeowFstMadnbyw/U//UC0FsEIa3LmDBnl3M+XwxF62lFbaXOhz8cd3XlcaAa0p4dBgxSdHlRhShkd7bL4Rg+hOTeGXrc/S/vhejZl1Lu96t0Rur1x9J7ZpCeEwYKe2TmPXHKbTr07rG9usMOgwmAw/9604eeOkO2vRoidFsQAiBwVS5XeZQE7995wG6Du1Ey67N6Xt9T0whJkIiLBjNBnqN7M7vPnyk3GdKHXaWHT7Iu2k7OXCu6pHRh7t3UXgVZU2Ju55usB0/QKjBWOb4FfUX1fOvJWZ068Hu7Cy+OHQAg06HS0paRETSJzGJBQEsgHEZh5Q4rjKRd764mHfTdlarSlhN+MUj43j5/v+Uk47QdBodB7Tj9j/dUm7fvyx7kr/f8SrbvkpDaAJziInrpg1h+K1DeGHuK+Skny+LoUUnRPLajheITS6fHpjcNpGXH3izWoVaDEY94+4ZTUxyM0bNvIb4VHfK7MQHb+TAliNsX5VGSLiF+X9bTGFe+dx3TRMMntCP6+eM4Po5I8ret5ZYOX0wk+jEqAo5/PvP5TDrs09xuFxlobgxbdrx4g3j0CoJxe08m1nrN+u6Ij0/HymlX2FFRd2jnH8toQnB86Nv4JEBg9mTk01SeDg94hNYe+IYSw8fDIoe+tWQwGvbttA7KYk+icl19kMdNWsYh7Yd5cv/rMFg0uNySeJbxPDUwscq7BseHcYznz9BUX4RJYWlxCQ3K7Prw+OvcWjbUU7tz6DzoA6kdvIuaW00G9Drdfzc9Ws6jZR2iWQezy6XgWQwGXjyg4e5durgCscSQtBlUAe6DOoAQHRilDs05Zno1uk1zKFm5jw9vcJnTRYT7XpXHIVIKbl3+VLyreUny9ccP8qSg/uZ0rmr13a1jIxEBwQ/paBqiuw2iux2rxPRivqDmvCtY5wuF1MWLmB3dlawTfGKRW9gWGpLXh033qf0Oykly48c4u0fd3ChpITrWrbioQGDiA+9epXO82dyObTtGM2Souk0oF2d3WyKL5UwPfnuCiJ1JouRlzf9FYCtK3/k/Jk8OvZry9BJ/QmNDPX5+Ls27OPj55aQdeIc3YZ1YubvJ5PUOsHnzx88f47Jn37kNb2yb1IyC6dVlGp4J20nL3z/bb3IJvMFAey9/xG3RIoi4KhsnyCz4+wZXt6ymaN5uXSMiWV3dnbAV1D6ilmv56H+g7iv34CysIOUkq1nMvgx6yyJYWHc0LY9FoOB/9v8PW//uJ0Sj/PSaxqRJjNfzZpTb9L3tq/exdNT/o7QNKSUOB1O5v1tJlN+eXOwTeP17Vt5YdNGr9sMmkZcSCg3d+jIA/0HEWEysel0OncvW1L2fTcEDJqO50dfr6QagoRy/kHk21Mnue/LpWW9O4H7h22r5zFbi17P6+MmsCUzgzd3bMcu3faaNA2Lwcib4ycxe8nCCj1Qk07H3X368+vBQ4NhtleKL5WwdcVObKV2+t3Qk2aJlWvnBIpLVisD3369ykVVGmDWG7iv3wC2njnNd6fTA2NgLXJX7778ftjwYJvRJFGpnkHk6Q3flPuBS8DmchFlNlNQaqV+5GRUpMThYM4Xn1V43+pyYbWW8stVKzB6WcxmdTr5/vQpZvfoyavbtrD+5AnAPSqIMJmY0rkrt3TtHtAMkJBwC8OnB+ZmdLG0hE/27WXn2Uw6xsQws3tPEsMqFkL5cHeaTxLcLqDYYeefWzbhqKeds6sRYjDQPiY22GYoqkA5/1rG6XJx4uIFr9uKbDbemTSZj/bs4kxBAYfzcmtFjz9QnL1UgL6SeYGCUis3ffQB+dbSClkph3PPs+LIYT6cPK3SbJaGyplLBUz8+EOKbXZKnQ42nDzBO2k7WTBlOt3if5oLSMs6y8tbNuGqhjNviI5fw+38b2rfMdimKKpAOf9aRhOCcKOJS7aK0gfRFgvDUlsxLLUV4O4x3rt8KTvOZlbLKQQLF1Qq93ziYh4I4bUdJQ4Hu3Oy+C79FNe2bFW3RuKer1h9/Cjv7fqRAquVG9u2Y07PPoSbvJervIxLSpwuF4ZqjFCe+24DF0tLy9ptczmxuZzct3wpv7vmOka2boPFYOCF7zfW+7BfVeiEhibAKSVSSq/j15SISOZPnhbUmtcK31DOv5YRQjCvdx/e2LGt3CSdRa/n3r7lC1VEmS18PGU6C/bu5sUfNpFbUhxoc6uNo5KQlQvgKjewYrudzafTA+L8/75pI+/tSqPE4U6vPZaXy5KDB1g24zavTqnYbufpDd+w9NABHC4XXeLi+evIMXSPrzqLZ8Opk15veJmFl3jUo//0i85d2HLmtJ+tCj5O6aJ9TBy39+jFX75dV2ES2qBpzOjWneYRNV/JrAgcaoVvHfDQgMHM7NYTs15PiMGARa9nXu9+zO3Zu8K+Qghmdu/J+A7eh8mNJUgicNcd/vOGtby9cztnL129CI3D5WL54YPc/+VSHlu9km2ZGT6d51xREf9N21nm+ME9J5FVeInPDuzz+pm7ly1h6aED2JxOXFKyNyebGYs/4XT+xbIwznfpp3BJid3p5FheLnklxbikxKhVPkpweR6LD+yvp7M81afQauWGtt4rx2lC4+YOnQJskaKmqGyfOqTYbie7qJCksDDM+qsPgxcf2Mef1q+tsBjMojcQoteRW1pRpqEhY9A0nh4+ih4JieSWFNMzIZEIkxlwz5vcsfQzdmZlUmy3I3Cno97btz/d4hPJKymmf3JzWkb9VLvg4PlzvPTDJrZmZlBgtXrtjY9o1Zq3J0wue305nXXu0sUVJrH1mkaIwYDV4cDmdHpSWk2UOpy4kFgdDnRCwyldXms9N0b0msZt3XvxP9eN4JsTx3l45TJ0QkPivmZ/GzVGpXfWA1SqZwOj1GFn1PvvcK6osGyiz6jp6BAby7/HjWfUB+80qMlhX9ELgVmvx+5y8ctBQ7i37wBWHzvCr1ev9Loq+nLYxulyMa1LN54ePor953KYtnABpVf5fnRCcEvX7vx15BgAfsg4zeNrviKrsLDByCYEEwHEh4ayfMbtZes5imw2NqafwulyMaxly7KbtyK4KOffADlXVMRfN65nzYlj6IRgQsfOPDH0WsKMRlYdPcKDK5c1iInhmiKA5hGRNDOb2ZWTXeX+IXoD9/Ttx5s7t1NUhXyGXgheGzeB3knJFNpsjPvovQa1cCoQWPR6jDodBVZrhTCVQdN4Z+IUhrRIDYptCt9Rzr8RkpaVya2LP22UI4Ar0QlRJ6EUgTtjJdRo5JK1tJ4U4qw/9ElMokVkJEsPHaywLcRg4M/XjWRql25BsExRHXx1/mrCtwHRKzGZT6feyoBk76JmjYW6iqFLwCFd5CvH75XrWrWmS2w8Zr33JMC2qsB6o0I5/wZGj4RE/jN+UoXaAQqFLySGhhIXUlHILsRg4PYevZnWtRsmnb5clplRp6Ndsxh6JSYFzlBFnaOcfwNk+eFDwTZB0UBp0yyGZTNmMyy1JToh0AlB9/gEltwyi0izmSizhcW3zGBQ8xZoQmDU6RjfviMfTJqq9PkbGX51H4UQ04A/A52BAVJKr0F6IcSNwMuADnhLSvmcP+dt6uSWFFcpDqZQ/ByL3sDs7r2IDw3jvUlTKbHbcbhcFVY+t4luxvzJt3B5PlA5/caJvz3/vcBk4NvKdhBC6IBXgbFAF2CGEEIlA/vBwJQWWLysG7Do9XSLS1DDOQUhBgOxISGEGoyEGgyYdDpu7dadG66o22wxGK4qeSGEUI6/EeNXz19KeQCq7BkMAI5KKY979v0YmAjs9+fcTZn+ySn0T0lh65mMsnRFi17PoOYteHbk9Yz76H0KbNZy+esmnQ6b09loVpoqKifG4pYNaRkVzebT6eSWlNA/OYWUiIhgm6aoRwRi1jAFuFLYJAMY6G1HIcQ9wD0Aqakqn7gyhBC8Of4XLNy3h4UH9iGAaV26MbVLN/SaxvKZt/Hati1sTD9FXEgId/fpz5i27Xjh+428sWNrjW4AFr1e5cXXM+JCQii02cqui04IIk1mVs++g2iLBYBhAdBSUjRMqszzF0KsARK9bPqDlHKpZ5/1wG+8xfw98wI3SCnv8ry+Dff8wMNXO6/K868bdmSe4flNGzmal4te0zhf7JuYXI/4BI7m5VKsbgD1Ap0QfDVzDhvST/L+rh8ptNsY3rI1jw2+hqTwirUEFE2HWivmIqUc7actGUCLK143BzL9PKaihvRNTuHTqbeWvZ6/J42n1q296mjAojcwrWt3Xvi+0qkdhZ+YPJXeKrsOYQYjRXYbAkH7mBj+NfZm2jaLoW1MDHf27htQWxWNg0CEfbYB7YUQrYEzwK3AzACcV+ED07v2YMmB/aRlZ3mVjjDpdDSPiGBK5y7M353GwdzzQbCyYaIBYUYT8/r0JevSJZYcOlBpltbQ1JZsTE/H7iq/elsAUzt35fkxN9a9wYomhb+pnr8A/gXEAV8KIdKklDcIIZJxp3SOk1I6hBAPAatwp3r+V0rpXVtXEXD0msaCKdP5/NABPj+4H6Omo2t8PDvOZlJos3FT+47c1qMXZr2B5PAI5fx95Ob2HRnUvAWTOnUpE6O7vm17fvP1SvJKSsr18M06PSNatWFb5hnstvLOXwLZRUWBM1zRZFDaPgqf2XQ6nbuXLVETv1WgCcG++x/B5GUVttXh4PnvN/LJvj2UOux0i0/gmRGjiQ8JZeT7b1eQljbr9Dw6cDD39htQ4VgKhTdUAXdFrTOkRSqPDx3GC99vRK9p2F0uYiwWzvysMItb/jeMO3v35VjeeRbu31fvU0z1mobArfHvb+3cjjGxXh0/gEmv56nrRvA/1w7HJSW6K2oiT+7clc8P7i+7ueo1jQiTiRnde/hlj0LhDdXzV1SbYrudA+dziDZbaBPdjG2ZZ/jTj1xFkgAABwNJREFUujWcuHgBk17PtM7deHTQEMKMRgCOX8jj5S2b2ZyRjs3ppEd8Ah1iYtmVncXpgnxyqghraJXUBgb3RKjV6cDupya/UadjXu++FNvspGWfZf+5nHLH1ISotG7tZRVSvRAY9Xo+mDSV3knJ1bbBJSUf793Nu7t+pNBmZVTrtjwycLBXLR6FojKUpLOiQbAvJ5tpiz6+qlxFQkgo+TYrVsdPFYQNmsYzI0YztXNXvj11kgdXLKPUWfNwlEmnY9XsuaRGRpFRkM//rFvDd+mn3MXcpaR1dDMeGzSUX61e4S7n6HKhCcGoVm1ICg9nV3YWHWNiubN3X1pFRdfYDoXCX5TzVzQYtmee4X+/Xc+enKwKPWuzXs+jA4cwpXNXlhzcz4kLefRJSmZSpy7orwiZZF4q4LHVK9l51p1F3K5ZDANSmvPx3j1Yr3JT0AmBQafj0QHuuPra48d4+KvlOF0u7C4XJp2eDjExLJw2A6NOR7HdztfHj3KxtIRBzVPpGBNbF1+JQlFjlPNXNDiyCwu5dfEnnC8uQuIOgwxLbckrY8e7e+A+UGC14nS5iLZYuGS1MuHjD8kuKiw3stALQavoaIa3bE2IwcjNHTrSrlkMNqeTfm++RqHNVu6YFr2ep64dwfRuKvauqP+oCV9FgyMhLIy1t9/JDxmnOXOpgB4JidXuWUdcIVQWbjLxxa2z+WjvbtaeOEaE0cTAlOYMa9mKTrFxFT6blnXW6zFLHA6WHNyvnL+iUaGcv6JeoQlRq3Viw00m7u3bn3v79q9yX5NOR2UjYbMXFVWFoiGj1H8VCg/dExIJM1aUOLboDSrdUtHoUM5fofCgCcFb4ycRaTIRajBi1usx6XRM7tyF69u0q/oACkUDQoV9FIor6BqfwA/z7mPdyRNcLC1hYPMWtFapm4pGiHL+CsXPMOn13NiufbDNUCjqFBX2USgUiiaIcv4KhULRBFHOX6FQKJogyvkrFApFE0Q5f4VCoWiCKOevUCgUTZB6K+wmhDgHnArS6WOBxl6vULWxcaDa2HiorXa2lFJWFK/6GfXW+QcTIcR2X1TxGjKqjY0D1cbGQ6DbqcI+CoVC0QRRzl+hUCiaIMr5e+c/wTYgAKg2Ng5UGxsPAW2nivkrFApFE0T1/BUKhaIJopw/IISYJoTYJ4RwCSEqnW0XQtwohDgkhDgqhHgykDb6ixCimRDiayHEEc9frzrFQginECLN8/gi0HbWhKquixDCJIT4xLN9ixCiVeCt9A8f2jhXCHHuimt3VzDs9AchxH+FEDlCiL2VbBdCiH96voPdQog+gbbRX3xo43AhRP4V1/GpOjNGStnkH0BnoCOwHuhXyT464BjQBjACu4Auwba9Gm18AXjS8/xJ4PlK9isMtq3VbFeV1wV4AHjd8/xW4JNg210HbZwLvBJsW/1s57VAH2BvJdvHASsBAQwCtgTb5jpo43BgeSBsUT1/QEp5QEp5qIrdBgBHpZTHpZQ24GNgYt1bV2tMBN7zPH8PmBREW2oTX67LlW1fBIwSQogA2ugvDf1/zyeklN8CeVfZZSLwvnTzAxAlhEgKjHW1gw9tDBjK+ftOCnD6itcZnvcaCglSyrMAnr/xlexnFkJsF0L8IIRoCDcIX65L2T5SSgeQD8QExLrawdf/vSmecMgiIUSLwJgWUBr6b9BXBgshdgkhVgohutbVSZpMJS8hxBog0cumP0gpl/pyCC/v1atUqau1sRqHSZVSZgoh2gDfCCH2SCmP1Y6FdYIv16XeX7sq8MX+ZcACKaVVCHEf7pHOyDq3LLA09OvoCztxyzMUCiHGAZ8DdVJWrsk4fynlaD8PkQFc2ZtqDmT6ecxa5WptFEJkCyGSpJRnPUPlnEqOken5e1wIsR7ojTveXF/x5bpc3idDCKEHIqknQ28fqbKNUsrcK16+CTwfALsCTb3/DfqLlLLgiucrhBCvCSFipZS1rm2kwj6+sw1oL4RoLYQw4p44bBDZMB6+AOZ4ns8BKox2hBDRQgiT53ksMBTYHzALa4Yv1+XKtk8FvpGe2bUGQpVt/FnsewJwIID2BYovgNs9WT+DgPzLoczGghAi8fJ8lBBiAG4fnXv1T9WQYM9+14cH8AvcvQorkA2s8ryfDKy4Yr9xwGHcPeE/BNvuarYxBlgLHPH8beZ5vx/wluf5EGAP7mySPcC8YNvtY9sqXBfgGWCC57kZWAgcBbYCbYJtcx208Vlgn+farQM6BdvmGrRxAXAWsHt+j/OA+4D7PNsF8KrnO9hDJZl59fnhQxsfuuI6/gAMqStb1ApfhUKhaIKosI9CoVA0QZTzVygUiiaIcv4KhULRBFHOX6FQKJogyvkrFApFE0Q5f4VCoWiCKOevUCgUTRDl/BUKhaIJ8v8BjFT86zt+KDsAAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_pred = DBSCAN(eps = 0.1).fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAX8AAAD8CAYAAACfF6SlAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi4yLCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvhp/UCwAAIABJREFUeJzsnXeYFFXWh99b1WlyBoYh5ywZEVFATIiiiwFzxkVXV9ddV7/dVXdddc1hzTmjgquiohjIOeecGWByno5Vdb8/BgaG6WFSJ2bqfR6fh+muuveM033q3nPP+R0hpcTExMTEpHmhhNsAExMTE5PQYzp/ExMTk2aI6fxNTExMmiGm8zcxMTFphpjO38TExKQZYjp/ExMTk2aI6fxNTExMmiGm8zcxMTFphpjO38TExKQZYgm3ATWRmpoqO3ToEG4zTExMTE4pVq1alSelTKvtuoh1/h06dGDlypXhNsPExMTklEIIsa8u15lhHxMTE5NmiOn8TUxMTJohpvM3MTExaYaYzt/ExMSkGWI6fxMTE5NmSMRm+5iYmJgECyklaJtBesHaByGs4TYp5JjO38TEpFkhfVuQhb8HWQwIQIGEZxGO0eE2LaSYYR8TE5Nmg5ReZMGNYBwG6QRZDrIUWfRHpH4w3OaFFNP5m5iYNB88cwGfnzd0pPOrEBsTXgLi/IUQ7wkhcoQQG2t4f5QQolgIsfbIfw8HYl4TExOTemEUgjT8vOEDIy/k5oSTQMX8PwBeAT46yTULpJTjAzSfiYmJSf2xDQX8OH8RjbCPDLk54SQgK38p5XygIBBjmZiYmAQLYekIUZcBUce9GgWWnmAfEy6zwkIos32GCyHWAYeAP0spN514gRBiMjAZoF27diE0zcTEJFx4XB7Wz9sMwGmjemNz2Bo8lpQSZBGIGITwP46I/yfS2guc0wFR8TCImoh0fYUsfxf0PFCTwNITEX0V2EYghGiwTZFKqJz/aqC9lLJMCDEO+AboeuJFUsq3gLcABg8eLENkm4mJSZhYNnM1j1/9QqVzlVLyjy/+xJALBtR5DKlnIcteB/fPR9I3JWBBRk1ExP9f5UNASoks/xDKngM8VAQ+LCDPhbIXwfkZ4KoYVC8FfT/SMxeixkH8f5rcA0BIGRgfK4ToAHwvpexTh2v3AoOllDWesAwePFiaks4mJk2Xwuwiru98Fx6nt8rr9mgbn+x5jcS0hFrHkHoeMu8ikCWAfsK7DrCPBks78K0HbQ8YWX5GsVFxDqDVPJHSCqQbrD0RsX9C2E6rg21ZyPL3wLsc1LaI2NsR1n613tdYhBCrpJSDa7suJCt/IUQrIFtKKYUQQ6l45OaHYm4TE5PIZN6XS5CGn8WnhPnTlnLJnef7vU96FiLLXgP9IAhHDY4fwA2eH8FjxX9651G8J3nvCEcfGt4lyIIbIPkjsParmANHtV2Boe2FvEuOvA9om5GeeciEZ1Gizqt9vhAQEOcvhJgKjAJShRCZwCOAFUBK+QZwOTBFCKFRsa+aJAO15TAxMTklKS8uRPNVX21rXo3yYqffewznN1DyDyrCNnXlZI6/IbiQRQ+AzANZBkQhY/6AiL0VIQSGoUPeFVQ6/krcUPoI0jEWIcJfYhUQ5y+lvLqW91+hIhXUxMSkmSOlRJY+xcDBXzHV1g6Pq6ojtNgtDD6/elhFSh1KHqN+jj9IGHuO+8EJ5c8g0SDmOsg9Dyiu4b6SiupiNSMUVp6U8D9+TExMmhXS+TE4p9K9fzFnXVyII/pYyMYRY2f0VSPoOrBT9fv0bKA0hJbWBwnlrxzbEdSIDiI+ZFadDFPYzcTEJLSUv8fRrJr7X8jkzHEl/DItCSEUzr39MU4fP6TK5Ub5J1D6LOA/FBQ5eME7++SXKJ0RSlxozKkF0/mbmJiEDHlCxo0QcPp5JZx+XsmRV25HFp0OcQ8iLB0xnNOg9F/hMbZB+JOOOI6Y60NjRh0wwz4mJiYhQUoXMn8SJ3eQLvDMReZfXhHmKX06VOaFAIFQIiPkA6bzNzExCRXun6nbYa0EWY4suPlI0VZTQSJtQ2q/LESYzt/ExCQ06IcqCqXqhAH6zqCaExaK7idSstxN529iYhIarH0qirKaM77l4FsbbisA0/mbmJiECtsIUDsD9uNetAMxVEgsNAcMpKeWjKAQYTp/ExOTkCCEgkj+GGJuASW9Qi8n5mZI+xWiLuaIKEANN6cC3UNlanCJkLCPmeppYmISMoQSjYi7D+Luq/pGwpMYWi745vu/UeYBTaTTVvTEcFsAmCt/ExOTCMAwnDU7/qaE2hnF0hGp5yJ1fwqjocNc+ZuYmIQUqe1DOj8FPRNswxFRv4Pyj8NtVmjQ92Hknl+hSIpAqhmIxOcR1l4hN8V0/iYmJiFDehYhC6dQoZ2vgWcRsvwdMHLDbVqI0EA/ThRO340suA7S5iCU2vsXBBLT+ZuYmIQEKQ1k8QNUlTp2geEKl0mRgdTA9R3SMaai8YtIAPuIGttQBgrT+ZuYmIQGfT8YZeG2IgJxI0v/C6X/BqwgLIANkj9AWHsGbVbzwNfExCQ0iGj8d9wygUIqNI88IMtBFiILJyNlLUJxjcB0/iYmJiFBqC3AEvqDzVMWWVrRezhImGEfkyaJ19CYk7WJTcUHaBedygWt+xNrrZu0gGboLMzdxqqCXbSwJzAuYwAp9sjQYD/lifsTFN4IREahU0QjXUhZiqj9ygZhOn+TJsGO0sN8tX8Zue4SBiR15KsDSynwluPSvThUK6/v+IV3Tr+DjrEtTjqOW/cxZfnb7C7LwaV7sSkW3tk1mxcH3ciA5I4h+m2aLsLaDYmVOjVNb/ZIMAqCNroZ9jE55fnl8HpuWfIG3xxYwYLcrby6/ScOugpx6RUOxq37KNNc/HPD9FrHmrZ/CTtLsyvv9RoaLt3L39Z9jhHE+GtzQSjJYD+Tk0o5mFQi9ANBG9tc+Zs0Gq+hoRk60RZ77RfXASklG4r2c8hVSI/41nSIbYEuDdYW7OGXrA1sLzlMS0cC13Q8k+7xrXli49d4DF/l/bqfkIIEtpccokxzE2upOfzz46G1VcY6SpHXya7SHLrGtwrI79icEQnPVuT6+5aF25QgI6g9vHU0qOPnOhEDavVexoHCdP4mDabU5+KJjV8zL2cLEknH2Bb8vc/v6JXQpkHjSSn5NnMFz275Hp+hoRz5YqQ64in1OnEe55Q3Fh9gdvYmusWlY9QjfqzWstm1CtXv65rUeXfXbP4z4Jo6z9UckdKLLH0RXF9WaPfbhiHi/46wHAuZCSUWaenWDJx/LZ/LmLsRsX9AyhLIPR9kEce6nFkq8v0dY4NmnRn2MfGLZui1hjnuWfk+83O2oEkdXRrsLM1iyvJ3yHYV1Xu+w65C/r7uc/6z6Vu8hoakYgWvI8l2F1dx/EeRSLaVHqoM0dSGQ7Xh1E/eSWpCxuDKh86JLMzdymFXYZ3mOkqZ5sap1aV7VdNAFt0Nzo9BllDR0HwhMv8KpH6CKJt3SVjsixysgAUhBIqSgEj9HuznHXndCvZzECnTglroZa78TaqwtyyHJzZ9zbrCfSgonJPehwd6TSDeGlXlum0lh9hVlo1PVs3b1gyd6fuXcVf38ytf8xkas7M2saZwL+lRiVycMYhkeywAujS4a/m7rC7cQ7Ap19zcs/J9PjnjboSo7uDdupefstbWuJPQDJ2J858j2mJnQsZg7uh2LjbF/1dob1kOj26YzvaSQwCcltSBR/teTsuoxMD9QhGG1HaDZzFVWzVKkG6kcyoi7u5jL4uYUJsXYfig/BUMtQVK9ESEmopIermyy5e/z2egMZ2/SSVFXic3LnmtciWtY/Dz4fVsKTrIa0NvreK4Mp35CFn9A+qTOrtLsznoLGBN4V4cqpW3d/xKlrsYl+7Frlh4f9cc/jvkFvomtuPvaz8PieOHik347tIcvti7CLfUOewsIMEWzUWtB9I+No03dvzCxqKaD9gMJIaUlPhcfLx3AdP2L6WFI54Sn5s4qwNdGiTbYpnQdggvb51JmeaufIysKtjNJfOe5sLWA7i3xzgSbU3Q+Wk7QVhBnrjT8VbPV7d0A21dyEyLTHxQ8k+kEotwVCyWQuH0jyIipZ/kiQwePFiuXLky3GY0K17aOpNP9y70+55VqPRNbMeTA64m0RrDrMPreHj9l36vbROVTI6nBFUoaIZebXcA0MqRwN1dz+dvG/yPESoEYFMsPNj7Ul7cOpNin7PRY6oIJBJ/QTMFhdbRiXxx5r1Ya9g1nKpI3w5k/kSqavcA2CDmZpS4+49d65yOLHmYCoG3Zo6lK0rqDwEbTgixSko5uNbrTOdvcpRL5z3DoZPEtC1CoVtcOg7VxubiTNx+4vAA4ojzO5WwKRa8RmgckUOxckOns7koYwDpUUkhmTNUGPnXg28NVfL4RQwi9UeEeixTShplyNyzQJpaP4hYlJarAzdcHZ1/QJYeQoj3gPFAjpSyj5/3BfASMA5wAjdJKQP325rUmRx3Mc9t+Z5FudtQEJyb3o97e4wjzhqFR/fvzI+iSYMtJYdqdeynmuMHQub4AdyGj3d3/sYHu+fSP6kD/xlwzUnTT6HCvtlZG9lZmkX7mDTGtupLlCXy+t6KpDeRpY+D61vAB9bTEPH/rOL4oSLjh6T3kYW/B5kfHmMjBUvXsEwbkJW/EOIsoAz4qAbnPw64mwrnPwx4SUo57GRjmiv/wOPWvUyc/xwFnrLKXHirUGkfm8ZLg27kukWvUOgrD7OVzQsVhb6JbRmW2pX1hfvYU5ZDue7BpXlBQL/E9tzWZQz/3vg/irzlOHUvUaqNKNXKu8N+T0ZMSrh/Bb9U+BUDUUPq7LHrDKRvDXjmH1H8tIDr/ZDYGHosVAQaj19kORDJ7yJsQwI2S8jDPkKIDsD3NTj/N4G5UsqpR37eBoySUh6uaTzT+Qee7zJX8eyW76qlRioIVKH4jc2bRAYqwm/xWt/EdjzQ6xK6x7cOg1XBwfCug+JHQN9Ck9IAElEQcxe4vwX9MFi6IuL+HFDHDyEO+9SBDOD4NIrMI6/V6PxN6seGov28vv1ndpZmEWeNwqZYUIRgeGo3SnxO5mZvxql58crq4Y2KLBbT8Ucy/hw/VPzdb1j8Cnd0OZebO48KabZIsFBsp0HaN0jDWdHly/1tRcMXmU/Vh8HRXUWkfnZVjtlmB2t/lNjJEDs5nEZVEirn7+8TWe3TLISYDEwGaNeuXbBtajKsK9zH3SveqzyALTouY2VHaXibRJsEHwm8ufMXDjjzeaTf5VXfO1I1/eHu+RR6y+iZ0IZ7ul9Iz4SM8BhbD4QSjYi7Bxk7BZkznOouwwJKGhiZ4TCvjkSBEgdRVyBip4TbmCqEqsI3E2h73M9tgEMnXiSlfEtKOVhKOTgtLS1Epp36vLR1Zo2ZNybNAwn8cGg1f1zxAceHct/bNYfnt/7AQVcBTt3LqoLd3LH8LXaeAosCQ8/FKJyCzB5aoW1fDU9QVS8bjw4YiNSZKHF/DHpbxvoSKuc/A7hBVHA6UHyyeL9J/TgVvsgmoWFJ/nZe2jqTPE8pH++ez7u7ZuM+IYvLo2u8vfO3MFlYNwztAOSeBZ7fgHJqjP0rSUBNgoIRUEchrODbEG4r/BKoVM+pwCggVQiRCTzCEc1WKeUbwEwqMn12UpHqeXMg5jWpINURR6YzkldAJqFk6r5FTN+3FF8NJwUSyfrCfSG3q14U3k3tsfwoiL0Lyv4LRhbVHxAqOC4Dz0817BwCyfHx/ePRjzygIo+AOH8p5dW1vC+BuwIxV3OnXPPww8HVrC3Yg1P3YFOsdI1tRY67GK8RqQdfJqFEAt5aHGe+t4xblrzOg70vpVt8emgMqw/6lpO8eWSlH3UZImoi0j4Scs+muvP3gPt7gn8gHAfxf4OSR6la3ayA0hoswWvC3hgiYF9kUldy3SXcuORVCj3l6MeJB9RFNdzE5EQ2Fh/g+sWvkGSLYWByR37fdSwF3nJmZK7EpXs5t1U/zm7ZC1VEmPhvzGRE1ASE5UhSiBKPrLHZoSv49qgtUaJ/h4EGpY8DKkgdLG0RSW9FbAaW6fwjBMMwmHV4HSvyd9E2JoVxrQdUU4B8eduP5HtKqzl60/HXHwVRrz4ATRWJpMBbxq9ZG/g1awNWoaLJinDR4tztDMzsyHODrkcJ9QPAejr4/Mg+i1hE7B+qOFQhopDWvuBbR9VvQ32XRXYq9PTrkzxhg+iKwIcSfSUy6mLwbQYlAWHpUo9xQo+p7RNGpJSsKdzDmoK9fLh7XrWMnYtbD+KhPpdiUSrymUf98ijOOmrXRzKqUNBr6RVgFSoKAo+fuoTGYBEK4zMGck+PcazM383f130eUmmHUw2bYiHBGk2Rt5xWUYlM6XoeY9P7Bn1eqWch8y4GWXzcq1ZImYZi7VX9em0XMn8S4AXpAhEN0qC6yJw/VLD0QiQ8Cr5tSP0AlL9PtRCOZVBFOEq6qXioWMF+JiLxZYSInHV0pBV5mZxAkdfJ75e/zSFnQY1pmt8dWkWOp5j/9L+G1YV70IxTu4esguDbs//CpuJMHl0/rfL3VhDYVSt/63MZPeIzaBeTimboLM7bzrbig2wsPsCqgj2oQkEiq2Wv1HXuqzuM4K5u5x97mLbsxcuDb+aFLd+zrdRMPvOH19DI9ZQAcMCZz782TEeXOue37h/UeYXaClrMRzpngm8VWLojYq5EiCj/11s6Q9pspOtb0PYgbH0qUl5L/kVFjsnxWEDEUvGg0MA2CJH4QkV/YWtfkBIpLFD2NggLSC/Yz0YkPFPxs2ce6NlgG4Cw9g7q/4dgYq78w8Rf13zKgpytaLVU1lqEgiIEilRwy1M7l18gsCoq13UYydDULnyway6Zznx6J7blts5jaB9bc23HIWchawr3EGeN4vEN/6tRg0g5MofnuNW8XbHwxtDb6Z3Y1u89UkquW/xfvwVx8ZYoSrS6x41bOhJoHZWEVagVD+wm2PS9lSORGaMeCLcZtSKlD1lwM2gbQTqpyGy3QdxfEdFXgb4fRDxCTfV/v1EG+h5QWiLUFiG1vTGYK/8IRjN0FuRsqZNj0KRxJGx56mfySCReQ+OzfQvpHNeSl4fUPeO3dXQSraMrUuai+0/iT6s/wqtrVeL2NmHhpk5nY1FUPtu7kBKfi27x6dzf8+IaHT9UNNB4c9hkHt/wP+Zkb8JAkmiN5s89L6ZDbAvuXPEOmmGgS72yxaTfcRCMSOvBg70ncOfyd5qk4wfIchdhSCP05wD1RAgrJH8A7p+Rnp9BJCCirzy2WrecvDm6UGJBCX6IK1yYzj8MHO0I1ZSxoBBnjfK7QnfrPj7bu5Bz0/s1aOzBKZ35auT9fH9wFVuKD+IxNNrFpHJR6wH0OCJbcFPnUfUaM9bi4MkB1yClRCKrOLYfRj3IgtytFHrK6J7Qmr+v/Zwsd3G1MeyqhfOP/E59E9uxrmgfviaYfptki4l4x38UISwQNQ4RNS7cpkQcpvMPAzbFQvuYNPaU54TblKCgIHht6G0k2WK4YcmrfhusF3kb1zErzRHPzZ1HN2oMfwghECekDdpVK2NbHVsBThv5J17Y8gPfZK6ozCexKhYubTOE/kkdALii/XCm71+GZrgr+xscHdkiFLynsJCe19Bwad6I7CdgUndM5x8mBiV3ahLOP0q1IYAUexwu3cvg5E7c33M8CbYYNEPHqqi4TvBzFqFwRlq3sNgbCOyqlQf7XMqtXcbwW9YG3LqPM1v0oEvcsYYlqfY4PjzjTl7e9hPL83YSbbFxedthDErpzPaSQzhUG/OyN7MkfzsWoXJWWk9WFOyiyFse8SmohpT8nLWeCW2qhpWX5u3go93zyPWUMDSlCzd2OpsWjoQwWWlSG6bzDxJFXievbp/FnOyNKCiMy+jPHV3OrVwtrSuK8PL647ApFm7tNJqtpYc45CxgQFJHusS1IstdREZ0Mue06oNDrb4KtCgqD/a6lH9tmI7H0JBIbEIl1hoVlFV7qElzxDOpw4ga328TncLTA66t9vppSe0BuLjNoCqvZ7uLeXLjNyzL3wHAgKQOtIpKZHNRJpmugohJSXXpXnaUVM2Omr5/KS9v/bEyg+ugs4CfD6/n0xF3mw+ACMV0/kHAa2jcvOQ1st1FlYd+0/YtYU3BXp4beD3fHVxF1kl65YaDWNXOe6dPwaKqfLBrLpuKM0m0RjOmVR/GZwxq8BZ/bHpfWkcn8dneRRx2FTI0pTNXtT+DRFtMgH+DU5+WjgReHHxjZQ3E8ZW15ZqHv62dyuK87eEyrxKHYqVTbEuW5G4n211M17hWvLLtpyopy5o0KNfcfLB7Lg/0mhBGa01qwkz1DAKzDq3jiU1f+411W4WKIkSVVMRwIhDc3HkUk7ucc8oc4tWXUpeHN79bws+rtqEoCuOG9WBIt3bYrCr9OqVjVU/eajBS+GzvQl7Z9lPYs4gEEK3akcjK5AXdMKpIjhwl1uLgjLTujG3Vl5EtekSeVEQTxEz1DCNbSjL9On6golViBD1vBXBaYvuIdPxOt5evFm5g9todJMfFcP3YgfTvXHsTEq9Pw6KqKIrAp+vc9PTnZOYV49MqDh8+mLWSD2etxGGzYLWoPH37eIb2aMeW/dn8uHwrupScO7BrneYKJeU+d62V0aFAAuW6p07Xlmlufj68jgU5WxiY3JHnBoZBKsLEL6bzDwLtolOxCYvflomRhoGkZQTGZMvdXib9+xMOFRRzdHM6d91ObrtwGFMuPgNNN3hn5jJmLN1EQXE5iqrQNi0Rp8fL4fxSVFUwflgvBnVtQ3ZhaaXjP4oEXF4Nl1fjnle/5rqxg/j0tzX4NB2J5JuFG7hkeG/+OmkMWQWlFJe76NgqGZs1fF+ZYand+HjvggZVOIcbl+5ldcEeFuVuZ2SLHuE2xwQz7BNQirzlWBULEsn4OU/hrOPqKJwoCL4d9UBIHwC7D+ezbMt+YqNsjOrfhbioColeKSVv/bCEqbPXUuKq+f/d4G6tWbm9WiM4v9itKh5f7WmVqhDoJ3wXrKpCfIyDojIX9iNO/9IRfRjesz2Du7etfC1USCn5x/ovWJCztcadZSRgEUqNoanxGYN4uO/EEFvUvKhr2Md0/o1EM3TmZG/ijR2/kOUqQgKDUzpxbss+PLbp65DbowoFi1DRpUGUaqO0FmmCNlHJfHXW/SGRnZVS8vQXc/hm8SaklKhqxfb/pTsn0KtdSy579ANyi/3LNkQSdqsFIeDxWy5k9GmhVW40pMH8nK3MPLgaA4lVUVmeu5NSvS4CZuFFQXBl++H8qef4cJvSpDGdfwj48eAant48o87xz1CQYInil7H/AGD6vqW8vO1Hv8JxNqFiUSy8NvRWeiW0CbgdPk3nje+X8NWC9bg8PgZ0zWDsgK688NUCXN6q9sQ6bAzt2ZbZa3YF3I5gc+/vRnLDuYPxaTpbD+QwY8kmVmw7QJzDzrhhPZk4sm9lqMjj01CEwGoJ7AGzR/dxy9LX2V+WV6mCakPlli5jyPOWMiNzRUQ0+rErFt49fUpkNo9pQpjOPwgsyt3Gp3sWUOAto2tcK+Zmb46YrJ2jXN1+BPf1vAiocAp3LHubPeU5uHQvKgpCCAYmdeD0tG5clDGAJFtso+fMLSpDMwxaJcVV7iD+/OZ3LNi4G59Wsf0XgKIIdCM8nzdVgB6EqVUBZ5/WmYUb9+LVqjtYq6pwyfDe/LxqO6VHQlnpyXG8ee/ltElLrHZ9Q3HrPn44uJo52ZtItEZzefvT6Z/UAafm4c4V77KnLAddGihShE0gUCAY07I3D/a+lARbdFhsaA6Yzj/AfLJnPm/t/C2iD9sE8NKgmzk9rWvlaz5D47esjSzI2UqKPZZL2w6hU2zLgMy3P6eQv779A3uyChACWibF8cQt48gvKeePr30bkDmaKnaryqIX70ZRQhNuW1O4hx2lWbSNTuHrAyuYl7M56PP6wyIUOsa24JMz7o7YDlenOmaqZwAp1zy8ueM3PDXo7kcKVmEhIzq56muKhQta9+eCAOuve30atz73JQWlzspsnP05RUx+YRqK+aWuFY9PZ9r8tVw1akDQ5xJCMDC5EwOTK1QsnZqH+Tmbw5JxrEmDA+X5rC/aX1npbBIezITbOrCzNAuLEtn/q6xCpXdiW9rGpARtDt0wOFxQQrnby4INe3B5fJy4cdR0A48vskJhkcpva3Yya8U2CksbJ3JXX9pEp2BXrSGd83jcho+ZB1cTqVGH5oK58q8DybbYiO2iZRUVh4dDU7vwr35XBm2eH5dv5Zkv5+D2aRiGpFN6Cm4/Tt6r6ebKv46s3J7Jpr1Z6Ibkj78bydWjq+4C3F4NVRUBr0DuHt+aTjEt2FJyMGz1hl9nrmBXaTZvDZuMEuELq6aKGfM/CcVeJ+uK9hFrcfDKtp/YWnIw7KX1R7EKlfSoJJ4deB1JttiAH6AdLijhqS/msHjTXoQQ6IaBEabD2uaA3Wrhg79cRfe2Ldi8L5vHPvmFnYfyUIRgzICu/N8151TWQwSCYq+TB9Z8wprCvQEbsyGMbdWXJ/pfHVYbmhpmzL+RfLpnIa/v+BmrUI/otavEWRwU+ZxhVWdo5UjEQHJuq77c0nk0cVb/PU0byoptB/j0t9Us3rwXXY90ceGmg8en8e3iTdx4XhSTX5iG01NxvqQjmb12J4fzS/jggUkBmy/BFs2bwybz5vZfeXf37ICNW19mZ22kxOciPsCfY5PaMZ2/H9YW7uXNHb/gNTS8HAlthD9NGhXBy4NvokNscPqJfvjzCt78YSlurxmzDwefz13Lt4s3VTsz8Wk62w/msmHPYaSE2CgbndIDc7ZzR7extItO5t+b/ocvDLtaBcGyvB0k2WLoHNuSaIsdm2IxM4FCgOn8/TB9/7KIzOyJsTpoF+O/2fTJkFKyeudB5q/fRWyUnXFDe5KRWlXOobjczRvfL6mTFIJJ8DixAO4ohiGZ/MI0LKqKbhi0SU3gxTsvpXVKfKPnXFd8AFVR8emhd/4aBo+un4aBrBStsytW7u95EZe2HRpye5oTpvP3Q2mYQzs18e9+k+qtiGgYkr+9P5P56/fg9vqwqArv/bSCh687lwuHHhPYWr/7EKqiEBFbHJNWe3BBAAAgAElEQVRqHC0gO/pw3n24gDtf/oqvH72pUavkXaVZ/HBwdVgXO74TWlp6DB9PbPqGKNXO+a1PC5NVTZ+AHLMLIS4QQmwTQuwUQjzo5/2bhBC5Qoi1R/67LRDzBovRLfvgUMKXCncUAagoxFrsvDK4avFWXVmwcTfz1+/B5fUhAd+RVMzHPvmFcvcxcbD4GEc15UuTyMWQktzicjbuzWrUOEvzdmJESBLDiTy35btwm9CkafTKXwihAq8C5wKZwAohxAwp5YklhF9IKf/Q2PlCwbiMAXx9YDnbSg6FpZ+qVVEZlNSJqzoMJ9UeT7e49Aav7n5asdVvKEFRBD8s28yFQ3oQF+2gb4f0sGz7TRqOy+NjyeZ99OnQisMFJRiGJCM1oV6flVirA4ui4tMj78Ff5HPi1DxEWwKX5WRyjECEfYYCO6WUuwGEEJ8DE4Dw1I8HAJti4fYu5/DXNZ9iyNB+KTrGpPHWsDsClrppUf1v7pweH89Nm8dTn89BVUS1Yi2TU4N3f1zG1ws3UFReoerZIjGGp24fT4+2dUsKGN2yN89H8Ar71W0/cWaLnhT7nAxI6kDLqMDpITV3AhH2yQAOHPdz5pHXTmSiEGK9EGK6EKJtAOYNKt9mrqwWiww2NsXCpPYjApqz3yIxrsb3fEdSOTVDVtOyNzk18OkG2UVleHwaHp/Ggdxibnn2i0oRudqIt0bx7MAbiLHYiVHtxFjs2BULCdbIEF6bdmAZf13zKU9u+oaJC57nv9t+MiuDA0QgVv7+9pgn/nW+A6ZKKT1CiN8DHwJjqg0kxGRgMkC7du0CYFrDyHTmszBna0jntKAwpmVvJrSttTajXmzalx3Q8UwiH7dX490fl3Hv786q0/VDUjoza8zfWFOwB0NKBiR3BCQXzXmq1n4QoeB4SfLp+5cwMLkjI9K6h9GipkEgVv6ZwPEr+TZAlTZLUsp8KeXRpcjbwCB/A0kp35JSDpZSDk5LSwuAaQ1j2r4lGH6aUQcLVSi0i03lkX5XBLy/qdZMDnGP18m3qiqKEDWGvJoDv67aXq/rbYqFYaldGZ7WDYdqxaHaeG/4FFpHJQXJwobh0n18tX9puM1oEgTi27EC6CqE6CiEsAGTgBnHXyCEOL57wyXAlgDMG3CklLy6bRZf7FsS0mNeXRpkuYpYmrcjoOMeyi9hy/5Te+WfkRLP3RNGkJ5cc/gKYHivdvxhwhmM6d+F68cO5KtHbmTiyL44rNV1cRxWC4mxjmCZHBEcKijluyWNO3ZrH5PKN2f/hSRrTICsCgzlWuS2sDyVaHTYR0qpCSH+AMwCVOA9KeUmIcS/gJVSyhnAPUKISwANKABuauy8weCj3fP4dO+CsGT4OHUvm4oOBHQ7+9QXs3GdgtW6ihDEOGx8/ODVtGtRsfJMSYjhic9+xav535FdM2YQw3u15/qxx17761Vj+OtVY/D6NL5ZvJEflm7BoipcNrIvB3OLeeuHpbX+pTu2TMLl9ZFVWBag3y50PDH1V9qkJTCgi78juLrz974T+b81n1V2CQsnDsXKeel9w21Gk8AUdjuCZuiM/OWRyirDUBOl2vhTz/FMaBOYmP/qHZnc9vy0gIwVTOxWC3decgbx0XbW7z5MQamTvh3TuezMviTFHtN78fg0rnvyM3Yfzq/msAd3y+DNe6+oV4pjUZmL8x98+6Qpjg6bhfsvP5thPdpxzZOf4vL4wtaJrKHERtn5/UWnM/Gsfo1qOL+6YA/v7PyNfeV55HlKwlYE2TY6haln/hGbYtan1oTZyaue/Ja1gYfWTg3ZfMcjgFhLFDNGPUBMAHKa3V6Na5/8lD1ZBY03rpG0SYknM7/E73tn9unIPZeeSZeMuklWON1eps5Zw/T56ylxeUiJj2byuNO5cGiPI9XJ9ePdH5fxxvdL/Dp0h9VCp9YpvHv/lditFg7ll/D+rOWs2p5Jeko8Fw7pwWOf/lLZpjKScVgtdMlI5b0/X9Xoc5ByzcPY3x4L2yIpxRbLzNEPkeMpIdddQsfYFgH5zjQlTOdfT/61fjrfH1od1DkE1dOgVKHQMaYFj512FZ3jGtdeUUrJ+7NW8O6Py8Ie7lEVwT+uO5dLhvfGMCQ/rdjKl/PWUeb2cHqPdvz+4jOIDaBEcUNweXxc/cQnZBeU4jlyMK4qgtYpCdx24VDOH9y9svm6Pw4XlPDIh7NYu+sQUkqkrKi8jUSi7Fb+dcP5nDOw/lXiJ3LNopfZWdq4yuKGogqF/knt2VB0AKuiohkGN3Y6i1s7jzHF4I5gOv96csHsJyjwBjeue16rfpyb3o/VBXuItTo4I7UbLaMSSbWf/DCzrny/dDOPf/ZrRIizvXnvRIZ0D1+6bl0pc3mYOmcNv63eQVy0g6vHDGD0aZ3r5Uicbi+5xaVc+e9PI1oiY+LIvvztmrG1X1gLW4oPMmX52/ikjs/QsStWQGJIGfLaGACHauXvfX7HeemmDhCYzv+krC3cy0tbZ7KjNItkWyxDkzsz49CqoMx1PFe2O50/97okKGOXuTxc8NDblTrw4eaTB6/Boio8/9U81u8+TFy0nevOGcS1YwaGpGl5KClzebjisY/ILSojko8Eumak0rNtCxZv2Ud8tJ1rxwzk0hF9GrRiznEX8/WB5ewuy6FvYjsuTO/PpIUvUayFtiXlUbrHpfPxiLvDMnekYTZzqYGNRQe4Z8X7lYUjWe6ikDh+gL6JwWtYfcNTUyPG8QM8O30u2w/kVtrk9mq8/t1iDueX8MBVo8NsXWD5etFGisvdEe34AXYczGPHwTwA8orLeWbaXHYczGvQ36OFI4E7up4LwKxDa7liwfOU6XWrKg4G+Z7SsM19qtLkq2A8uo952Zv54eBqsl1FvLHjlyoVg6HCplgYG8AUNSklG/dmMW3+Ol75diF7swsDNnYg2LQ3u1pTErdX438LN1B8RIemqbBi2wG/DXAcNovfA9ZI2fi4vRpfLVhPfkl5g8fYULSfxzd+HVbHD9A+JnxFoacqTXrlv7k4k7tXvIchZWWzCMWvGkXwmdBmMAtytjIirRvWRqaplbu9/P7F6Ww5kBOxfXUVAT4/ttmsKvuyC+nXKd3PXacmbVITUBVRLWtICMEzt49n1sptLN2yD11KBnbJoG+HVrwyY3GYrK2KTzeY9PgnPHX7RQzs0qbe93+6Z2FEND6a0GZIuE045Wiyzl8zdO5d+SGlWtVVZric//8OLOeHg2uwKiqvD72NLnGt6nRfVkEpr3+3mMWb9xIXZefacwayeV82m/dnR6wSp92q0qtdK9btPlQt+8Xr0wPSfSqSuGpUf75ZvBH9uNW/qggyUuI5q18nzj6tc5XrS51uXvt+ScQ8uPNLnNz+3DQ++uvV9O5Qt8/lUbLcRWFvfBSt2Iiy2Lhv1Ye4NC/npfdjfJtBZi1ALTTZsM+6wn34jOpbcQMZlgeALg2cuodin5M/rfqoTsqEBSVOrnniE2Yu30J+iZO92YU8N20e3yzeGBGO36oqqIrg+PPCGIe1orJ20mhsJ0gr2K0qo/t3JjUhsuQCGkv7lkk8d8clpCXE4LBZsFlU+nfO4LV7Jvo9TI2LdvD4zReGwdKakcBD786s931DUzpjFdUlNEKFKhTObtmLf6z/gkW521hduIcXt85kyrK30YzIzbyKBJrso9Fj+PzrjQJtolM47CoMS1oaQLHPyY7Sw3SLb33S66bOWYPzhKpSty/c+fsKL991Kb07tCTGYWNfdiHLtuzHYbMwsGsb2qQlVBZcvXTnpTwx9TcO5BRhtahcNqJ3nZUmTzWG92rPj0/czqH8YqLtNpLjTy6JnJYQg92qRkRa7lEy84r5x/s/8eiN59W5aO7qDiOYkbmSEp8brYbvk02oSCnxBVgsUUUgJPyctb5K0Znb8LGzLJs52Zs4N71fQOdsSjRZ598/qQOaUf3DZlMsHHIV1vhBDQUKAo+fXcmJrNqRWdm7NRKwW1XuuGg4w3sdy1rqlJ5Cp/QUv9cP6d6Wrx+9CbdXw2pRGlSFeyqhKII2aXVrNvLp7DUR5fiP8svq7fRq14KrzxmIlBKnx0eUzVpjem6SLZZPRtzDh7vnsih3O0m2GEa36MXs7E1sKj6AQ7VxWdsh7CzNYnn+roDaqiMBWb1yEnDpXhblbjOd/0loss4/2mLnod4TeHLTt2hSR5dGZV9eb5AFqi5vO4y5OZsp9jrRpVFNKE4Rgp7xtYtttWuRyPo9hyMiNmxVFa4fO5gbz6u/9pDD1mQ/Zg0mrzgyheK8ms5zX81nx6E85q7bRanLS4zDxuRxw7h6zAC/YaxUexz397yY+3see+26TmchpcSle5m2fylrC/aG7pegIhyUbGta4cVA06S/leMyBtIroQ0zMldR5C1nT3kOm4ozgzrncwOvZ2SLnjzQewJeQ2PK8nfYWZqFS/diFSqKUPhnvyuxKLXHSa87ZxA/r9ruN40w1Gi6wVcL1nPdOQOJj2nacsihYGTfTmzPzPW7+o+xW0lNjCUztygsQnKGlHyzeFPlzyVON6/MWISqKlw1qn+dx9lRcpiblr4ell22RahmBlAtNO19ONAhtgX39LiQCW2HsLssJ6hztXIkMLLFseWPTbHw5tDbebTv5VzWZgg3dDqLL0fey5ktetRpvC4ZqTwz+WJaJsaGPWQiAZfXxzeLN4bVjqbCVWefRnJcNDbLsUWAw2bhzovPoEVSHDlFZRGlE+T2arw9c1m97rlr5XshdfwOxUqMxU60auORvpfTPtbM/T8ZTXrlfzwrC3bh0oPbBCLbXYyUssrW2KKojG7Vh9Gt+pz03kN5xbzx/RL2ZhcysEsGd4wfTpTdSr+OrRjTvwufz10bVNvrgtursX734XCb0SSIi3Yw9f+u4/O5a5m3fhfJ8dFcO2YgXy/ayIHcIjQ98tRCC0qdGIaskzxHtquIYl/opB4sQuHStkMY1bIXvRPaYletIZv7VKXZOP9EawwKIqiNWqJUe4N0Uuav38V9b8yoTN/cuDeLz+as4f7Lz+bZaXMjRkPeZlFrPNw1qT/xMQ4mX3Q6ky86HQDDkNzz6jcR6fgB0pPj66zLVOQNrcaPJg1+OrSWS9oMNh1/HWnyYZ+jdIxpEVTHL4DftR1a7/sMQ/LguzOr5e1rusFTX8wJueM/2VfboipcfpaZPRFMIuFw3x8Oq4V7fzeyztd3jGsRRGv8U+Rzct2i/zLrUPh3yacCzcL5Syn558bgdrVSEEw5InRVH/blFEbEgS5Ah5ZJXDCkB1aLilVVsFlUVEWgKgrd26Tx1n1X0CIxNtxmNlkURTC0R1uUMOvSd0lP4enbLqJbmzQcNgtdWqfw5K3jOHdQtzqPUeJzoYrQuxcDySPrp+HSwqs1dCrQLMI+awv3ku8JfmrdmsK9DE3tUq97GtNaL9Dsyynk04eu5e/XjqXM7SElLgZN19F0g2iHLdzmNQv+ds1YbnhqKi6vLyyLAgHcfOFQxg7qxth6OPsTsQgVBUE4KhkMJF/tX8Z1nZpmQWGgaBYr/x2lWX4LQQKJjmTW4XX1vq91Sjzx0ZHRhu5o6CnKbiUtIRZFEdisFtPxh5CM1ARmPHYL919+Nhef3qvRbRfriwRmr9nR6HESbdH0SmwTltU/EPTMvqZAk3b+ue4S7ln5Ps9v+T7ohV0C0WCNk1f+cFnYt/pQUXwWZTcPy8JNjMPGxJH9ePSG80hPDr0I3tx1u5jy8leMfeBNLnjobZ75cm6DZJ//fdokWjoSiFbtlQWWoSLJboYna6PJOn/N0Llt2RusyNsZ1IPeo9hVC+MyBjbo3j4d05n7/BSuO2cQQ7q15fZxw+jdvn7qioFgdP/OtV9kEjKEEDx56zhiHLaQVknrhmTZlv0UlDrJKSpj6pw1XPboB+QW1S902tKRwFdn3c+T/a/mvp4XYQ+hAFyPWnSzTJpwG8cFOVv4x7ovcQa5yYQArIqF6zuM5I5u9T/wrYnswlImPPx+yLR92rVI5MMHribBrN6NOIrL3cxctoWswhK+W7qZorLwNMNJS4hhxmO3NPic6pqFL7OzLDSN338Y9SBpjqYlHV5X6trGscmu/A86C3AHuahLQTC+9SC+OPPegDp+gJZJcbx2z8QqFaDBwmpR+OqRG03HH6EkxFQ0lr9v4tn87eqxOMKUJJBbXM6rMxY1+P5SzRVAa2rmzLQezdbx14cm6/x9hh70cI9dtfKX3heTEZ0c0HE13eDlrxdw9ytfh2Tlf9mIvmGXjzCpG+cM7MrTk8fTsVVgP3N15dPf1tQ7/HOUUOjrJ1mjmdT+jKDP0xRost/42dnB16C5r8dFONTAZ8I8N20un89di8sb/PZ4UVYLf6xH8Y5JeCkocdK9bRpnHCerHUqklHw6e3WD7j2rRU8sQc7+KfQ5uX/1x6zK3x3UeZoCkZNkHmAOuYLb0DxKsZEShIwCp9vLN4s3hkzr/b0HriLKZmb4RDr7c4r4v3dnsuNQHgIaJCMSKNbuPNSg+27tPIZfsjZQpgX3zMJj+Hhl+yzeHz4lqPOc6gTkMSyEuEAIsU0IsVMI8aCf9+1CiC+OvL9MCNEhEPOejC6xwc2WMTBoFxN41cC8knKUEIVg2rdMonub0Jfhm9QPr0/j1ue+YOuBHHyajlfT8QS5o1tN9QWCiuSA+jInayPXLH456I7/KFtLDtapVWpzptErfyGECrwKnAtkAiuEEDOklJuPu+xWoFBK2UUIMQl4CriqsXOfjCndzmPD8ndwG8EJnQxK7kz7mNSAj9siMY5QNOgVwIThvYM+j0njmbd+Ny6PL6QSz+cP6kZ2YRkrd1TtfyGpWytRr6Hx6Z4FfJu5Erfuo9jnrNJqMdgY0mBj8QH6JrYL2ZynGoFYYg4Fdkopd0spvcDnwIQTrpkAfHjk39OBc0SQ9619Etvy3yG3kO6o/yqlNvrGt+U/A64J+LhQoel+0/lDgi77YFEVLh1xcplpk8ggu7AUnxY6x2lRFe6beDY3nT8E1Y+K54INe9h5MK/G+6WU3LvyA97bNYdDrkIKvGUhdfxHWRHgtpFNjUA4/wzgwHE/Zx55ze81UkoNKAaCrg18WlJ7rmx/BtY6dM2qD2e16oUjiLKxt104jD9fcXad5XMbwuk9w3NgaFJ/erVvGVKZh2cnjyc5Ppo1uw76VZU1pMHSrftrvH9D0QE2Fh+oU5/qYGETFhKs0WGb/1QgEJ8ofx7qxE9MXa5BCDFZCLFSCLEyNze3QcZohs7c7M28sOUHPtuzkAFJHRAnFSquP0lB7g0qhKBlUlxQdVGWbd3PFY99RF5x/cv2TULLgC4ZtG+ZRKjOeF//bgkH84qJddix+qkzsSgqsVE1Z7ltKc4MexcyA8nYVn3DakOkEwjvkgm0Pe7nNsCJ6QCV1wghLEACUHDiQFLKt6SUg6WUg9PS6n+Y6tZ93Lb0TR5d/yVT9y3i9R0/c8fyt2gTnRxQ9//c5u/YU5bN9P1L+XzvIjKd+QEcvWLb/OTns/Hpwcv48Wo6xeVu3vmxfq35TELP6p0H2XM4PxRHQQBsy8zl9ue/5LzB3WrUnDqnf83qtS2jErGEUMrBH5o0mJezufYLmzGBcP4rgK5CiI5CCBswCZhxwjUzgBuP/PtyYLYMwlH8F3sXs6ssC+eRyl6PoeExNHaX5QS03Mtl+Lhq4Us8t/k7/rvtJ65e+BLv7PwtYOOXu73kFAZfglrTDRZs3BP0eUwaxwvT5+MJkczHUbIKy/jLm9/xf1ePIdpuJcZhI8ZhIy7Kzot3TiAuuuZq8BFp3Yi22FACvOOuDxLJ05tnkO8pDZsNkU6jnf+RGP4fgFnAFuBLKeUmIcS/hBCXHLnsXSBFCLET+BNQLR00EPx4eE1I44w6Ep/U8RgaH+6ez9bigwEZ126zhCzGm3DClzhSO0k1Z3YcqvlwNZhs3p/Dy98sZObjt/Of28Zx5dmn0TE9mRf/N5+Pf11ZY78Bq2Lh7WF30CuhDVahYhHheQwoCBbkbA3DzKcGAUkpkVLOBGae8NrDx/3bDVwRiLlORji3ml5DY9bhdfRIOPGsu/5YVZUJw3vx5fz1AbDs5LRNS+C5afMQAmat3EZucTmpCTHcefEZZjZQhJASF01WYXhWsPklTm59/gt6t2/JL6u24zri8HcfLuCnFdv44IFJWNXq37uM6GTeGz6FQm8Ztyx5g4OualHe4CPCWwwX6TQpeYdL2wwJuW748RgBTGf74+9C04VoztqdfDp7NZ/8tprcI4e/ecXlPP3lHL5dHHyJDJPaueXCoSGVdD6RvVkFzFy+tdLxA3h8GnuzC5m9ZudJ702yxZLtLgq2iX4xpGRkWo+wzH0q0LScf9shDEvtikOxNrixSkOxCoWx6YFrbh5lt4bkC6/VEOZxezVe/nohhWWhUWI0qZmJZ/Zl8rjTsQQx9fdk6IZEN6ovbFweH0u37Kv1/lZRga+1ORlWoWJXLDzQ6xKSzaYuNdKknL9FUXlm4HW8OWwy93S/kJFpPUM2d8uoxIBXE04ZH151wsIyFxc8+Bb//PhnND30RTomFQghmDR6AOE8jvGXLm1VVVok1O5c7+x6XsgWY3bFQpRqw6Fa+S1rY8DO4ZoiTcr5H6VnQgZXdTiD/wy4OmQ9RGMtgdfCv/7cQdx+4VDCtOADwKcbzFq5jbdnLg2fESYs27IvbLnzdquKw2ap5v5VRTBhRO0SIWPT+/FQ7wkhOfT1GBolmotin4sleduZvPwttpgPAL80Sed/FKti4cVBNwb9INiCwoDkDkEZe8olI7hmTMPaQwYKt1fj87lrw2pDc6fcHdzGRP5QBETZrAzu1pb3/nIVbdIScdgsRDtsJMQ4eOaOi2mdklDrOOWah6n7Fge1Kr4m3LqPV7fPCvm8pwJNVtL5KMNSuzJz9ENcu+glcoOU86th8OW+JRR7nTzQawJRlsBq/P+6ZkdAx2sIZa7gtsM0OTl9O6UjREg0/xACkmKjuGJkP07v1YF+ndIRQvDNP29iT1YBHp9G14y0Oqcjv79rDnvLc/GFoJmLP8zQj3+a9Mr/KIm2aFxacFdOmjT46fA6Hlz7WcDH9oW4wMcfvdq1DLcJzZq2aYkkx4VGq0ZKKHf7+GnldrpmpFamSwoh6JSeQs929dMamnV4XdgcP0CLqNp3J82RZuH8AcqC3MgdQJcGqwp2c8jZ+EYyuUVlfPLbau767//IL3EGwLqGoSgCh83CX64cHTYbmgN1KXiPtocubOLxaWQVlvL1osan+4az0tehWLmt85iwzR/JNPmwDwQ2/74ucx10FtA6OqnBY/y2Zgd/f/8ndF2vMRUzFMQ4bIzq15mbLxhCp/Sgi7A2SzJzi3jy89ks27ofi6pw/qDu/PnKUcRF2Skqc/Hr6u2s3nGQmCgbrVMSyMwtDnJn6mN4fBq/rNrOtec07szpooyBvLNrdoCsqoqCIM4aRaItmkJvObEWO7nuMhQBNsXCnd3OZ0wrs1jRH83C+StCQRVKSDTFNWmwueQAQ1I7N+h+p9vLPz74KeidmupCenI8j918QbjNaLKUujzc8PRUSso9GFLiNXR+WrGVbZm5tE1NYPa6XVV2BKoiQub4j7J5fzYH84rJSG146OSGTmczbf9Sin2B3cEqCEa26MGDvS8lxR5X+bpH91Hic5Fki8ESYDn3pkSTDvu4dS+HnIX4DI1LMgaFbN6vD6xo8L3Ltu5HDVEbx9rYfTiwaqUmVfl+yWbcXq1KCqdPN9h1KI+563dVCwX509YPNrpu8NqMxY0aw6FaOTO1e4AsOsbi8x/jmYHXV3H8AHbVSpoj3nT8tdAkV/66NHh564/878ByhAAFhVs6j2JESjcW5W8P+vyNWeFEkhaJ3aqyZX827/20nO2ZubRMiuPaMQM5+7SG7WpMqrL9YK5fcbRwOPmakMDybTU3bvGHZuhsKs5Elzp9E9tRprn5JXtDQO1q6UgIeJ+O5kaTdP5vbP+F/+1fhkce+2K9tv1nRqb1wKZY8AZZ+dOh2NhSfJCeDRB5G9ajXcQoa7q9Gtc+eSx76UBuMRv3ZHHDeYP5/fjhYbSsadCjbQt+tm2ropkTiSTGRNX52vWF+/jz6o8rs3uEEFzedljAm6nneUoZP/cp/tLzYka1MntRN4TIiC8EEF0afLFvcRXHDxWdfeblbgm64wco8JYxedlbzMuufzOJKLuVJ28bh91qwWGzoCoV6xurqhBjt5IY4whZRyd/X1e3T+P9n5ZTZGr+NJqLhvXEYbNWaZhiVdWQ/X3rgsNm4bqxdTvwLdc83LPyA4p8Tsp1D+W6hzLNzQd75uGTgU311KVBrqeEf6z7gmc2f8e7u2azveTEHlImJ6PJrfzdui8kDv5kSCQew8eTm75hZIseKPWUmDirbydmPn4rv67egdPjY0TvDnTJSGXBht3c9/qMkHV0qgmfbjB9/npuGzcsvIacwvy4fAtv/rCUco+XaLsVl9eH1aJyweAepCfH8fr3S8JqX4zDiqYbTBrVn0uG121lXbHYCe2H0yM1pu9figJ8sGsel7QZxJ97XhxR4dNIpck5/2jVRrTFTpnm9vu+ikAP0QfUqXnIchU3KO0zKS6aK84+rcprM5dvDXtv1KNMnbOG03u1Y87aXaiKwvmDu9G5dWq4zTolmDZ/HS98Nb8y3u/16aiKIC7Kzp6sfFomhVeJ8vzB3bjy7P50Tk8hPqbumlUlPmdYirkkEh3QDR/fHVzFOa36MDC5U8jtONVocs5fCMGk9mf4zSu2CQs9EzLYWHwgJGmfujSItQZO8K2wNHzFXidS4nRz2/PT8Gk6ihB8/Osqpowfzg3nDQ63aRGNYUhem7G42kGvbkhyi8vJLS5n3e7DQbXhZDIRQsCk0QM4rVPreo87JKVzSL5XJ8Oj+5h1aJ3p/OtAk4v5A9zWZQxp9vhqr9tUC88MvJ7nB94QEpwNT4EAACAASURBVInZFo4E4q11PyyrCZ+us3pHJi2T4mq/OETohsTr05Gy4t8en8Zr3y/mcEFJuE2LaEpdHpweX1htUKg4Q/LHpFH9G+T4IdQBn5oxs4DqRpNb+UNFUddHZ9zFYxu+Ynn+TiTQLS6dh/tOJNEWzfC0bpyb3o/Z2Rtx68H7Ih52FTQ46+coy7bu54G3v8cwZMSEfGpCIJi/fjdXjeofblMilhiHDZtFDateky4r8vehQrkzKTaawd3bcOsFw+iS0fDQ3dK8HcgwPwKsioULMszPX11oks4fIMUex4uDb8Kt+9ClQYzFXuX9h/tORJMGvxxeH7QPrAF8e2AF3eLTOegsIM7qIMlW93huYZmL+17/tsZG2ZGGEISs8fypiqYbdMtIZc2uyMhMMSSUuDw8fN15RDVSO2h/eV7YV//jMwbSP6lDmK04NWiyzv8oNWmIK0Jhad72oK9Uvs5czncHV2FIiRAwOLkTj502iQRb7QqNs1Zu8xubVRURUYVAR5FSMvq0LuE2I2RousHizXvJzC2iW5s0BnVtU2OWSWGZize+W8zXizZGXFc0QUW/gMY6/wPleYExqAEoCAYkd+TB3peGzYZTjSbv/GtClwYlvuDnqks4luMsYVn+Tu5f9RG3dBmNz9AZlNKpxi5gJeVuvH40fqSUWFUVnx5+qefj6dI6Nezb/lCRW1zGzc98QVGZC003UFWFTq2SefPey4l2VPRz8Gk6s1ZtY+66XSzbsh+XxxeRobuEGAcp8Y2Xi7aq4XEnCoJRLXvxcN/LwzL/qUqzdf6qUGgbncIBZ2j1aySwvng/D62dioJAkwYP9Z7AuIzqhTTDerTjw59X4vJWPZewWlSSYqPJKy5H89NYO1xs2pfNVf/+mOkP30hibMVBt9ur4fFpxEfbm1Tu9T8/+pnswtJjOzBNZ/P+bP781nfccsFQylwe3vh+CQdyiqv9/SIFIcButfB/15wTkL/NxRmDWFe4F1cQz9GOYhX/3955h8dVXXv73edMVZesZsuqbpJb3DvugBs1lGCCgRgTSAgkIRBKLjdfEhJCLiEhhksJkHAdejcYCM0xbrhXuduSi2TLsnqdcvb3x4xlyRpJI0uaUdnv8+jRlD1nr62jWWeftdf+LZ2p8YOZ03s4I3tltEtiRU+jxzp/gJ9lzufBba9RawT+y1ntPldc5g+732dYVCrJoQ1lk4dn9GbS4FTWZufWORC7xcTU4Rncf/1M/vLOKj7ZsLdTXQCKyquZed+zLJ4zlmOnS/l6m2fBPSY8hHuvncbFowYG20SfOF1uvtx6gB2H80mOi2L++Kwmc9xrnS427D3WKPQmJazfc5QN+46hC4Gzk4V3wFOfwW4x0zsmnNSEGG65ZAxD0hL9/ryUkn1leeTXlJAZ0Yfe9nN7WC6KG4QWgARCq2Ziavxgfvud61q9gVJxDtHemhvtxZgxY+SmTZs6vJ9NZw7x3MEvOFpZSJmjKmAbwOpjEhq3ZEzn9gGzG73nNgw+37yfD9dlIwRcMWkIs0cORPNWdXcbHtXFV7/aQq2zc4WBfDEhK4VfL7qUp977hi+2HsBwGwxNS2Rgcjy9YyKYNy6TuKjAbnIqq6xh0eOvUVhaSVWtE5vFhEnX+PvPr2Ng3zgAThaV8dX2Q9gtJiYNTmPBr17slOsu9RHA/dfPYPvhfNbsOgLAzJH9ufuqi4gOa/1MucRRyd2bXia38jQaGk7p5pLew3l46NU43C7u3vQy20ty23kUHnQ0UkJ7MafPSMbH9mdwZN8O6ac7IITYLKVsccNNj3f+9fmf7OW8eTQ42+qvT53IvVmXXfDni8qrmPvgC51ytnk+At854RaTjiYEf/rhZUwekhYwex5/82veWbWj0d8uKszOpWMGcjjvDBv3H29kq6MTlNdsDk2DKUMy+MuPrmiX492z6R9sPHMIVz2dHgs6w2NS2VFytMNlVSyaifem/oI4W+M9PIpz+Ov81T1TPeYnjcISgM1f52PXLVwUn9WmY8SEh7CwjRWXAkVT0w2Hy02N08XdS99j/sMv8OzytVTWtL32cnl1bbNx98837/d50SypqOaNldsbOf6ztnZ2DAPW7cmltNK31ElrqHDWsOk8xw/gwM2mosMB0dOyaCbyqtteIlXhQTn/emRFJjGljU64tVg1MwPCe5Nib3uZxLuvnILN0vWXcSSQX1TB8yu+ZeHvl3GquLzZ9MjqWidfbNnPig17KK6nNrr/+GlueHQZs+57lmk/f4Z7nn6fIh/1kHWt+yxEn4+uCSqq216/usbtCHoel8NwkRqq9KPaizZ5CiFEDPAGkAbkANdJKRtdmoUQbuBsNYejUsrL29JvR5IRFs9XpwLTV7jJRrXbyeGKk1yz+kmmxWfxs8z5rCncj8twMyVuEAn2KL+PJ4TgjgUT+cu733Sg1YHl2OlSFvzqRcCzg9hq0Zk3LoufXDmFkspq/vTmStbuzsGk6+iawOU2uPfaacwaMYDFT7zZ4M5h3Z5cljz5Fm8/sgghBNm5J9m473i3lgOwW8wkxrRdFqSXNRyzpuEKUnqxTTNzWd8xRFlCg9J/d6St08QHgC+llI8JIR7wPv+lj3bVUsousef6dG3gtGnKvcqjFd4Qwtcnd/PVqd2YNR0p4cm9H3PngEu4MX2K38e8afZo1uw64jNU0VU5t7AqcdUYvLdmJ19vP0hhaVW9NufCDn9+exW5J4sbSSi43AanisvZuP8Yb6/awepdR3C63J1+4dYfNCEItVmocThxuo1zaZw3zGqXsqBCCIZGprCx6FA7WOs/ZqETbQ3jhtTJ3JA2KaB9d3fatOArhNgHTJdS5gshegMrpZSNinUKISqklK1K4QjGgi/AVyd38cC2V1tuGCCsmol/TvoxGWEJfn/GMCR3P/Mea3d3TOZFVyAqzO6z4IwmBMnxkZwsqqDWxwa6rordYuKeq6eSd6aUTfuPkxQbyaLZo1uVxtkSv9/1Lu8fD9x38heZC7hOOfxW4++Cb1tn/glSynwA7wUgvol2NiHEJsAFPCalfN9XIyHE7cDtACkpKW007cKYGp9FrCWcQkd5UPo/H5dh8O+87dwx8BK/P6NpgvuuncENB5Y10AXSNYFh9Iw9uE1VGjOkJPdUSYCt6XiEEKQlRHPdeTUg2sq+sjye2f9vthXnNNibEgj+tv8zMiP7Mjw6OL6gu9Pi/aAQ4gshxC4fP63JH0vxXokWAn8RQvisAC6lfF5KOUZKOSYuLq4Vh28/TJrOssk/YXr8YDRvNNguLEGxBcDAuKASeKkJ0Tx55xUkRodjNZswm3RG9k/CZFJr/N0NTQjCQ6yMHti+ue/7y/JZ8u1zrCvcH3DHD1BrOHn58NcB77en0OLMX0rZeOeRFyHEKSFE73phn4ImjpHn/X1YCLESGAkENnjYCmKsYTw+6vt1RadXntrNA9teDcqMWQIxlnBuWfcMJ6qKyAiL50cDL+U70aktfnZ8ZgofP7qYgpIK7BYzEaE27nt+Od/sPNIlUhUVLWM16fSNi+LPd17eLrH9+vzvgX9TGwCphuYIplhcd6et/y0fAjd7H98MfHB+AyFEtBDC6n0cC0wGWl/ZPAhUuGr4V85qlp/YQogevNn/0/s/Jbv0OKXOKrYW53DXxpfYUnTEr88KIUiIDq+TKvjNLXOYNXIAFpOO1WxqNs/Fag78ngeF/9gtJt74r5t465FFJMf5nxXmL9mlx4MaItQQDI5MDqIF3Zu2xvwfA94UQiwGjgLXAgghxgB3SClvA7KA54QQBp6LzWNSyk7v/E/XlLFo7VIqXDXUGi5MQq8LAwVaAsJ1Xmm8WsPJU3tX8I9JP271sewWM4/+YC4P1cyirKqGVdsP89f3v/FZM8Cl7g46LSZd45ZLx5IS3/r60P6SaIui2FHZYcdvCatuZnG/GUHrv7vTJucvpTwDzPLx+ibgNu/jtcCwtvQTDP73wL8pcVThxuN4z+5sTAnpRaQlhJ0lx4JpHnvKTnCiqoikkJgL+nyozUKozcL1M0Zgsej86c2VjevK9oSV4U6OwKO+qWlag41uhiFJio3s0L4XpU/lwe2vdWgfvgjRLXwnOpW7Bs0hNSw4a389AbX61wSrC/bWOf765FeXsKTfLMxacEMiEljy7XM422Fb/VWTh9UJmCk6B31jI1n+21tZ+cSdfP3Ej7CaGv6/GVLy22VfcLSg4zKXxsb2D/j2t7SQOFZe/Gv+OuZWBoT3DnDvPYuurwXQQdh1CyXOxlIAAF+e3NUpqlVXuRysLtjLjMShbT7WiH592JN7qksIw3UnNAG6pjFpcBoFpRVEhtq5fvoIpg3PqGvz+eb9nun/ebgNg4/W7+ZHl09uF1tOVZfwePaHrCvcjyElMdYwbJqFaiNwmT4395sWsL56Osr5N8F3UybwwsEvG2j9m4TO0KhkPs3ffkHpl+2N03Bxqqa0XY5148xRvLd6F+4aR7PVpqLD7NgsJk4VV3TKqlRdD8FHjy4mLrLpPZAV1bW4fdRscLkNSir8F20rdVTxypFVrDy1m1CTletSJzG/z0iEEJQ7q7lp7dIGE57C2sDtdRHArMRhzO3TJYQAugXK+TfBwrTJ7Cs7waqCPZiEjoEkJTSWUTEZ7Cw5GmzzAE95yKf2fsKqgr38LGtem26T46LCWPbgQv723mrW782lsrqxkJfNbOJ700fw4qcb/HL8oTZLu6hydmcMKekV3rxezdhByRg+JCjsFjNT690hNEelq5ZF65ZSWFNeN3F5PPsDdpcc457Mefxx94dN3ul2FMn2XsxMHEqE2c7U+CwV3w8wyvk3gUnTeXTEDRyrPMP+8jx626PJikjinWPfogu9UQZOsHBhsKnoEEvWP8e/Jt99wQvAAMlxUTx++wIAVmzYw+/+9UWd9o3NYiI5LopJQ9J45fNNfu0TSEuI5lD+GZ+ZRAoPoVZzXWGepugbF8X3Zozgrf/sqFfRzczI/klMGpzmVz8fHd/M6ZqyBv+3NW4n7xz7lo9PbKYmAJLMZ+kflsj/Tb4LXVXhCirK+bdAcmivBuUVZyUO5am9nwTRIt9UuR08sv0NHh1xA4mtUAJtinnjsujfJ5a3V22nsKyKqcMymDsu07MA6McqoMWkEx5ibVaKuSfRVAGbe66e6tfn77nqIsZnpvLemp3UOFzMHZvJxaMHtnjhAHBLgzePrm1ywhJIx28RJmYmDlGOvxOgKnldAKsL9vLw9tdBejTG3RhYhYlaGfwZrkUzsbjfTG7tN73utWqXg/8UZFPurGZsr36khTUlweQfb6/awZ/f+U+zM/oQq5nf3TKHh176hJpuJKB2oYRYzVwxeQgfrNlNVa2TiBArP716KldObv1ivctws6XoCA7DxciYdEJN1kZtCmpK0YWG2zC4df3/BlSttik0BBFmO29c9FOiLYEt1dmTCJSwW49kSnwmn818iI1nDiGBsTH9uG71kz4XX5ua8XUUDsPFS4e+ZkLsALIik9hZcpS7N72MlBK3d+Y3P2k0vxx8OcJHBok/XDN1OEmxkfzj3xspKKlgWFoixwpLyc45iRCCxJhwfnPzHIalJxITEULemeA7nmDjchssvnQ891174ZuW8quL+d3Od9lYdAgBnnRjKbguZSIJIZGkhsYRabbzyI63yK8uxpCyUeWtQCDwSJIs6T+LYkcFH53YQqWrholxA7lzwCXK8XcSlPO/QGznlV4M0RvPvoKFw3Cx/MRmHIaTe7f8H5WuhpWcPj6xmYmxA5iWMPiC+5g4OJWJgxvqC5VV1lDrchEbEVp3YTHpTd/eW0w6SbGR3HvtNEoqqvntsi86jcyyEIL2uis2m3TGZ6UQExFywccocVRy05qllLk8aqUScBgex74s9xsEnnq6joDvP29Mckgsr025G7PmcS+L+88MskUKXyjn305clzqRv+5dQU291FBdaESZQzjjqAioLRLJe0c38NGJzdT4EOaqNVw8tvt9JscNwtSOm9XO6gfVJ8zu+6IogFsvHcuii8dgt5oBeOs/29mde6pV6wQZidGcKa8mMtTGJaMH8s2uHPYd86kv2CImTSA0jZ9ffRESeG/NLnJPeYrCmEx6o+IwZ7FbzPzyezN4f80uyqpqiY8KZduhPHRNw+lyM3ZQMo/eOrfBZ2rcTlYVZFNcW8nImHQGRjSfqfX20fVUuZsuxyiBWoKffgyeHbpnHb+i86LOUDtxVfJY9pQe59P87Zg1HUNK+tijGRaVHNACGGdxY+BuxokWOSp5PXct30+/qEPtuGHGSB599YtGdQWGpCbywwUTG7T964+u5L9f+Yy12TkIBDarmYtHDWDOmEE88s/POFlUXjerjQm38+qDNxIf3bBEYXJcFL9/7Utqnf47QrNJ5+rJQ4mLCmPuuEx6x0QAcP30Eew8cpJ12TmE2Cy8uOJbys6rh6sJwbThGVw+cQiXTxxS93qNw0XOqSJ6RYQ0yuHfX5bHnRtexC0NXNKNhmBqQha/GX4dWhMLoTtKjnaaDLOWOF5dhJTygsOKisCgnH87oQmNXw37Lov7z2Rv6QkS7FFkRSTxzem9fJa/Iyh66M0hkfzj8EqGR6UwLCqlw76o88ZlsjvnJO+u3onZ5LkoJkaH8ydvSml9IkJtPHnnFZRX11Jd6yQu8lz46KPfLWZ3zkkOnyxieHpv0hJ9p7RazCavtHFD568JQUpcFMcLS3DVy5m3mHR+d+scZo8a2OhYQgiGZ/RmeIZnVt4rIoTf/evchUzXBHarmTsua1xtymYxkZnceGFdSskvtiyj3NWw2MyqU3tYkbeNBUmjfI6rrz0GDXwIjnQ+qly1VLkdPheiFZ0H5fzbmd72aHrbzyktTo4bRHpoPNllna+mbpmzmrs2vcT4XgN4bORCv9LvpJR8fnIHr+asocRRyaS4gfwgYwaxtgif7YUQ3H/9DG65dCy7c04SGxnK0LTEZi824XYr4eeFi4QQDE3vzdD05sMjU4am4ytUbzbpPLZkPgBrdh2hoKSCwWkJTP9O/0Z9NcW8cVkkRIXz0mcbyDtTxsh+SSyeO65VAmuHKk5R4kMps8Zw8v6xjT6d/+s5a/jwxOYu4fjBM7FQiZydH5Xq2UHsKM7l+YNfklNZQEZYAvtKT1Ac4B2U/mLVPNK5izKm1oUdpJRsLT7CzpJjxNsimJEwBJtu4dn9n/Nq7uq6tQST0Igwh/DalLs7TRbHuuxcfvHccoTwxMLdboOfXDmFG2f5nlUHklcO/YelBz7z+Z5Z6MRYw7ik93BuzZhBmNnGxjOHuHfzKw3Wkjo7ZqHzq2FXM7fPyGCb0iPxN9VTOf8OYN3p/fxy67/qvrACjy5QZ9ADag6bZubxEQvZUpzLsiOrcHnnmhZ0bGYLT4xcxI83vYjjvE1BFqFzU8ZUfjjg4mCY7ZPKGgerdx3B4XQxcXAasZHNSygEggpXDXO/+kMDvShfCMCmm7k5fRrbinNYf+ZgYAxsR25Mm8I9mfOCbUaPROX5B5En9nzUYKYm8ejwRJpDKHNW01lLqNcYTu7e8s9Grztw43BW88iONzBreiPn75BuNpw5xHeTx/Py4ZWsPb0PieeCF26yMT9pFFckjwloBkiozcKlYwYFpK9SRxUfHN/EzpKj9AuL5+qU8cTbGoeC3j663i8JbglUu528cPArn7LinR27biEjLCHYZihaQDn/dsYtDY5W+a47Wumq5akxt/DusQ3kVxVzuLKgkSPtzJysKcGE79TQcmc1N679G+XO6kZZKYcqTvHlqV08PfYHTWazdFVOVpdw87qnqXI5qDWcrC3cx+u5a3l23BIyI5Pq2u0qOcYLB77EaMWFvys6foHH+c9O7HL1m3ocyvm3MxqCMJONCldjqd0oSwjjYwcwPnYA4Jkx3rdlGTtKclvlFIKFBIwmHNJRb6FtX+OoMZxklx7n28KDTIxrnFXT3kgpWVmQzZu56yh3VjMzYQjXpU0izNR4H0J9DGlgSNmqvQ9P7fuEUkdV3bidhhsnbu7fuoyfDJrLRfGZ2HQLT+/7rNOH/VpCFxoawntx933/2scezdNjb8NuCl7Na4V/KOffzgghWJg2mVcOr2oQ+rHpZhalNxTxirSE8Nz4Jbx3bAPPHfwiqPVS/aWp/aMtXbyq3Q42Fx0OiPN/Zv9nvHF0Xd2idE7laVbkbeP/Jt3l0ylVuxw8sWe5p06D4WZQRB8eHHIlWfVm7k2xrnC/z7GfrCnlV9vfQCCZ32cUW4oPt31gQcYtDTLCE7k2ZSJ/Pi+0CZ6F3iv7jqNPSMfVFVa0H93rHryT8IN+M7g6ZRxWzYxdt2DTzCxMncL1qY3zwYUQXJ0ynkt6D/d5rO6yTUYAe0qP8z/Zy3k1Z3WLRWhchpvP83dw/9Zl/PeON9lWnONXP4W15byWu7bBzmaH4aKgppSPT2zx+Zl7t7zCp/nbcBguJJK9ZSe4Y8MLnKgqYt3p/byes4YNhQcxpIHLcJNTUUCJoxJDGphF03cJEokBLM/b0gXu6/yjwlXL9IQhPt/ThODiJv6PFZ0Ple3TgVS7HJyuLSPeFolNNzfb9qMTW/hT9oeNNoPZdTM2zUKxs/PfFbQGk9C5P+syBkf1pdhRyeDIvoSb7YBnhnnPpn+ws+Qo1W4HAk866k0ZU8mKSKLEUcmImDT6hpyT2j5YfpLnD3zB1uIjlDtrfM7GJ8cN4snRN9c996Sz5nD3xpdxnKfIahI6dt1MreHCabjQhU6E2U6t24mBpNbt9KhmSqNLhOzaA5PQuCZlAj/PWsDqgr08tP01dDRPOq1089CQq5ibpNI7g43K9ukE2E0WUkyxfrWdnTiM5w587pGI9i6YmoVOamgcj4+4kWtWP9mlFodbwiXd/D77fXQ0rLoJtzS4fcBsbkqfyjcFe+scP3jWGmoMJy8c/BK77gnbuKXB5X3HcF/WZewvz+e29c9S28zfRxca8dZzGTibzxzmt7ve4VRNad3f+3z7yutp+bikm6LzNJqMLh7Dbw0CQbQ5tE4qfEp8Jp/OeIhvCw/gkgYTYgfUXbwVXQM18+9EFNaW89e9K1hVsAddaFza+zvcNWgOoSYrK0/u5oFtr3brWabAs0M6yhxCdtmJFtvbdQs3pV/EsiPfUNWCfIaOxh9H3ciwqGQqXbUsXPOUT9G7noxNM2PWdCpctY2Wc01C56kxtzCmV78gWafwF7XJqxuyq+QYd2x4oVvdAfjibDilvRF4LgIhJivlrppOu98iWAyLTCEpJJpP87c3es+uW7gv6zIW9B0dBMsUrcFf568WfLsQQ6OSeX787YyMTgu2KR1KRzh+8ISPXBiUuTrvRrtgMiluIAMj+mDVfK9PqQLr3Qvl/LsYgyP78j+jbsLWxBdUoWiOeGsEsZbwRq/bdQvXpk7ksqTRWHUTol6emVnopIfGMTQyOZCmKjoY5fy7IJ/n7+g+OaCKgJIaGscrk37M+F790YWGLjQyI/rw8sQ7iTDbibSE8OKEOxkdk46GwKzpXNJnOEvHLVb6/N2MNmX7CCGuBX4NZAHjpJQ+g/RCiDnAXwEd+LuU8rG29NvTKXZUUqsWKxWtxKabuSZlPLG2CP429gfUuB24pNFo53NqaCzPjLutroylcvrdk7bO/HcBVwOrmmoghNCBp4G5wGDgBiHEhRePVTAyJh2b3ninqk0zkxnRB03dFvR47LqZXpYwQnQrIboFi2biyr5jG2zQsumWZiUvhBDK8Xdj2jTzl1LugRZnBuOAg1LKw962rwNXANlt6bsnMzI6jRHRqWwtyqnbYm/TzIzulcHDQ65i4ZqnqHDVNBBYs2om7w5WRXcnxhzKs+OX0DekF5uKDlPiqOQ70akNigwpFIHY5JUEHKv3/Dgw3ldDIcTtwO0AKSkpHW9ZF0UIwROjFrH8+GaWn9gMwOV9R7MgaTQmTWfZ5J/wj8MrWV94gF6WcL6ffhHTEgazdO+nvJLT5E1as9g1M9VdqKBIT6CXNYxKZ23dBEBDEGG28/pFPyPKEgLABK+IoEJxPi3m+QshvgASfbz1sJTyA2+blcAvfMX8vesCl0opb/M+vwnP+sBPmutX5fl3DDuKc1m671MOVxZgEnqjXatNMTgyiSPlBeoC0EnQELw+5R7WFR7gzdx1VLlrmRQ7kDsGXkKCj1oCip5Du8k7SClnt9GW40D9HLG+QF4bj6m4QIZHp/L8hB/WPX/36Lc8lv1Bs5+x6WYuSxrD0n2fdrR5PRaLt9JbU1OxEN1CtXeRPyMsnj+MuIG0sHjSwuK5IW1y4AxVdBsCEfbZCAwQQqQDJ4DvAQsD0K/CDy7vO4aP87ayu+SYT+kIq2aity2a+UmjeOfYtxwsPxkEK7smGoIQk5UbUydTUFvGirxtTZZwHN9rAOvPHGik+S8QzO8zkkeGXxMIkxU9iLamel4F/A2IAz4WQmyTUl4qhOiDJ6VznpTSJYS4C/gMT6rnS1LK3W22XNEumDSd58Yt4ZO8bXyStxWz0MmMSGJ7SS6VrlpmJw7j2tQJ2HQzibZI5fz95OLE4YyOSWdun5F1NQSmJwzh1zvfosRR2eAya9NMTIofxJaSIzhdDZ2/RFLoKA+g5YqegtL2UfjNxjOHuHfzK42KeCgaoiFYdcn/w+KjZrHDcLF036e8f3wjtW4nmRFJ/HLIFfSyhvPdVU800m2yaiaW9J/FooxpgTJf0cVRks6Kdmdsr37cNWgOS/d9iq5puAyDaEsoJ2tKGrQTQJw1gu+lTian8jTLT2zq9CmmJqFztjRhW7WF+oUn+HT8ABbNxM+zFvCzzPkYSPR6NY3n9xnFJ/lb69RGTUIj3GznquRxbbJHofCFmvkrWk21y8GB8nwiLaGkhsayrSiHP2V/SG5VIVbNxGV9R7Ok/2xCTVYAcitO88LBr9hUdAin4SIrsi/9whLILj3OieoiCmubD2toiCall9LEvgAABsFJREFUrEN1Kw7D1eb6uBbNxMK0KVS5a9ldfIx95fm46h2zORt0NNwY6ELDoplYOvYHDItqfaqyIQ3eP7aRN3LXUemq4aL4LG7rP5Ne1sZaPApFUyhJZ0WXYF9ZHkvWP9dsKCnWEk65qwaH4axzvyahc//gy7ksaRTrCg/w4LZXmy3m0hIWzcQbU35KUkgMeVXF/DH7AzYUHqgr5p4SGsedA2bzXzveREqJSxoIBFPiB5FojWJ32XH6hyVwQ9oUkkN7tdCbQtFxKOev6DJsL87lyT0f+SzgYtXMLOk/iwVJo1iRt5WjlacZFpXK3D4j6hwzwKnqEv57x1vsKDmKANLD4hkZneaJrTdX4QsNk6ZxW/9Z3JwxjW8K9vDQttdxSwOXdGPVTGSEJfD3CT/ErJmodjn4T0E2pc4qxsRk0C/c1xYYhSJ4KOev6HKcrinjhxteoKi2wlP8XErGx/bnsRELGzj65qhwemQtoiwhVLhqWLR2KadryhukWJqERnJILJPiBmLXLVzcezjpYfE4DReXfPUola7aBse06WZ+nrmAK5PHtut4FYqOQC34KroccbYI3r7oZ2wuOsLJ6hIGRya1emYdZj4nVBZmsvHKpLt49+gGvinYQ7jZzqiYdCbEDqC/j+PuKjmGr7B+jdvJJ3lblfNXdCuU81d0KjShMbYd68SGmWwsypjKooypLba1aKYmK3xZdVU8R9G9UMVcFAovWZFJhPqQOLbrZpVuqeh2KOevUHjRhMafRy8i3GQnRLdi08xYNBPz+oxierwqQaHoXqiwj0JRj0ERfVgx4wHWnt5HqbOaUTHppITGBtsshaLdUc5foTgPq25mRuLQYJuhUHQoKuyjUCgUPRDl/BUKhaIHopy/QqFQ9ECU81coFIoeiHL+CoVC0QNRzl+hUCh6IJ1W2E0IcRrIDVL3sUBhkPoOFGqM3QM1xu5De40zVUoZ11KjTuv8g4kQYpM/qnhdGTXG7oEaY/ch0ONUYR+FQqHogSjnr1AoFD0Q5fx983ywDQgAaozdAzXG7kNAx6li/gqFQtEDUTN/hUKh6IEo5w8IIa4VQuwWQhhCiCZX24UQc4QQ+4QQB4UQDwTSxrYihIgRQnwuhDjg/R3dRDu3EGKb9+fDQNt5IbR0XoQQViHEG973vxVCpAXeyrbhxxhvEUKcrnfubguGnW1BCPGSEKJACLGrifeFEOIp799ghxBiVKBtbCt+jHG6EKK03nl8pMOMkVL2+B8gCxgErATGNNFGBw4BGYAF2A4MDrbtrRjj48AD3scPAH9sol1FsG1t5bhaPC/Aj4BnvY+/B7wRbLs7YIy3AEuDbWsbxzkVGAXsauL9ecAngAAmAN8G2+YOGON04KNA2KJm/oCUco+Ucl8LzcYBB6WUh6WUDuB14IqOt67duAL4p/fxP4Erg2hLe+LPeak/9reBWUIIEUAb20pX/9/zCynlKqComSZXAK9ID+uBKCFE78BY1z74McaAoZy//yQBx+o9P+59rauQIKXMB/D+jm+inU0IsUkIsV4I0RUuEP6cl7o2UkoXUAr0Coh17YO//3vf9YZD3hZCJAfGtIDS1b+D/jJRCLFdCPGJEGJIR3XSYyp5CSG+ABJ9vPWwlPIDfw7h47VOlSrV3BhbcZgUKWWeECID+EoIsVNKeah9LOwQ/Dkvnf7ctYA/9i8HXpNS1goh7sBzpzOzwy0LLF39PPrDFjzyDBVCiHnA+8CAjuioxzh/KeXsNh7iOFB/NtUXyGvjMduV5sYohDglhOgtpcz33ioXNHGMPO/vw0KIlcBIPPHmzoo/5+Vsm+NCCBMQSSe59faTFscopTxT7+kLwB8DYFeg6fTfwbYipSyr93iFEOIZIUSslLLdtY1U2Md/NgIDhBDpQggLnoXDLpEN4+VD4Gbv45uBRnc7QohoIYTV+zgWmAxkB8zCC8Of81J/7NcAX0nv6loXocUxnhf7vhzYE0D7AsWHwCJv1s8EoPRsKLO7IIRIPLseJYQYh8dHn2n+UxdIsFe/O8MPcBWeWUUtcAr4zPt6H2BFvXbzgP14ZsIPB9vuVo6xF/AlcMD7O8b7+hjg797Hk4CdeLJJdgKLg223n2NrdF6A3wCXex/bgLeAg8AGICPYNnfAGP8A7Paeu6+BzGDbfAFjfA3IB5ze7+Ni4A7gDu/7Anja+zfYSROZeZ35x48x3lXvPK4HJnWULWqHr0KhUPRAVNhHoVAoeiDK+SsUCkUPRDl/hUKh6IEo569QKBQ9EOX8FQqFogeinL9CoVD0QJTzVygUih6Icv4KhULRA/n/7p3MhShIws4AAAAASUVORK5CYII=\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "y_pred = DBSCAN(eps = 0.1, min_samples = 10).fit_predict(X)\n",
    "plt.scatter(X[:, 0], X[:, 1], c=y_pred)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.6.5"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 2
}
